Answer
$0.581$
Work Step by Step
We can find the required ratio of the moment of inertia as follows:
$I_i\omega_i=I_f\omega_f$
This can be rearranged as:
$\frac{I_f}{I_i}=\frac{\omega_i}{\omega_f}$
We plug in the known values to obtain:
$\frac{I_f}{I_i}=\frac{3.17}{5.46}=0.581$