  We consider a class of five-dimensional cosmological solutions which contains
two arbitrary function $\mu(t)$ and $\nu(t)$. We found that the arbitrary
function $\mu(t)$ contained in the solutions can be rewritten in terms of the
redshift $z$ as a new arbitrary function $f(z)$. We further showed that this
new arbitrary function $f(z)$ could be solved out for four known parameterized
equations of state of dark energy. Then the $5D$ models can be reconstructed
and the evolution of the density and deceleration parameters of the universe
can be determined.
