Northamptonshire showed some overdue resistance but late wickets for Jack Brooks and Ryan Sidebottom kept Yorkshire on course for victory in their LV= County Championship clash.
Following on 365 behind at Headingley after a pitiful 94 all out in their first innings, the visitors reached 149 for four in the 49 overs possible on day three, thanks largely to a second-wicket stand of 89 between James Middlebrook and Kyle Coetzer.
Sidebottom had the latter caught behind for 39, adding to his earlier scalp of Stephen Peters, before Brooks removed Matt Spriegel lbw and then Middlebrook, who made 63 before giving wicketkeeper Andrew Hodd his third catch.
Forecast rain in Leeds could slightly abridge the final day's play, but the hosts will hope to pick up the six wickets required for their first win of the new season.
Less than 26 overs were possible at Old Trafford, where Lancashire closed on 46 without loss in their second innings - still 31 runs behind Warwickshire.
The Bears added eight to their overnight 316 for nine before James Anderson removed last man Oliver Hannon-Dalby for seven - the England paceman's only wicket of the innings.
Paul Horton was 27 not out and Luis Reece nine not out in the 22 overs of Lancashire's second effort before rain intervened.
No play was possible all day at Chester-le-Street, where Durham lead Somerset by 275 runs having reached 152 for seven.
In Division Two, Derbyshire looked set to deny Hampshire their second win of the season as they compiled an impressive 399 to take a first-innings lead.
Stephen Moore, 106 not out overnight, reached 128 and there were also good contributions from Shivnarine Chanderpaul (82) and Tim Groenewald (56no) as Kyle Abbott took four for 84.
That left Hampshire with a deficit of 71 runs and they were 20 without loss in their second innings at stumps.
Kent declared 64 runs in arrears as they tried to force a result against Leicestershire.
The first day had been lost to rain in Canterbury and, after the visitors made 333 on day two, Kent captain Rob Key settled for 269 for seven after 58 from Daniel Bell-Drummond and 48 from Darren Stevens.
Doug Bollinger then took two wickets in successive balls and the Foxes finished the day 39 for two, 103 ahead.
A result is still possible in the low-scoring clash between Glamorgan and Gloucestershire, but the visitors will need quick wickets on the final morning in Cardiff after rain played its part.
Glamorgan ended an abbreviated third day 80 for three, still six runs in arrears of Gloucestershire's 231. They had been 36 for three but Will Bragg (29no) and Murray Goodwin (26no) steadied the ship.
Surrey and Essex appear to be heading for a draw at The Oval, with the hosts 217 for six in reply to 306.
Youngster Matt Dunn finished with five for 60 as Surrey wrapped up Essex's first innings and Graeme Smith made 65 in Surrey's reply, but Tymal Mills and Monty Panesar took two wickets apiece to peg them back.