Cosmological solutions that obey the perfect fluid equation of state i
n Wesson's gravitational theory are presented assuming that the fifth
dimension subspace is also homogeneous and isotropic like the usual ho
mogeneous isotropic cosmological model. It is shown that the scale fac
tor scales as square-root t for the vanishing fifth component of the e
nergy momentum tensor. The role of the fifth component as a cosmologic
al constant is remarked. and an inflationary model is thus obtained.