Making a strong reply in the four-day encounter at the Sawai Man Singh Stadium, Saurashtra were 180 for three when bad light ended Tuesday's play an hour early.
The visitors lost Chirag Pathak (20) and Sheldon Jackson (0) quickly but half-centuries by Sagar Jogiyani (68) and Arpit Vasavada (56 not out) played valuable knocks. The Jaydev Shah-led side still trail by 257 runs.
Earlier starting on their overnight score of 264 for two, Rajasthan top and middle order combined well to frustrate the Saurashtra attack.
Useful contributions from Rajesh Bishnoi (33) and Arjit Gupta (40) also helped Rajasthan's cause.
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Saurashtra medium-pacers Sidhartha Trivedi and Sudeep Tyagi picked up two wickets each.
Brief Scores:
Rajasthan 437/5 in 129.5 overs (Vineet Saxena 118, Robin Bisht 99, Ashok Maneria 100 not out; Sudeep Tyagi 2-76)
Saurashtra 180/3 in 46 overs (Arpit Vasavada 56 not out, Divyaraj Chauhan 34 not out; Pankaj Singh 1-40).