Check out the rear springs, take some pictures, and post your findings here.
The previous owner may have cut the springs, installed softer, or progressive rate, springs etc.
At some point you may want to rebuild/upgrade the stock suspension: shocks, springs, polyurethane bushings, insulators etc. Makes for a huge improvement in handling and ride.
Recommend stiffer springs that maintain stock ride height for a street car. The 240Z is low enough.