We present a formalism that allows to construct, for each static and spherically symmetric black hole solution of ungauged supergravity, a non-trivial gravitational solution whose asymptotics exhibit both a dynamical critical exponent z and a hyperscaling violation exponent θ, without the need of solving any equation of motion. Therefore, we establish, in the context of four dimensional ungauged supergravity, a new correspondence between both kinds of solutions, which allows to write the radius of the Lifshitz-like metric in terms of the physical parameters of the dual asymptotically flat, static black hole via a universal relation. The new Lifshitz-like solutions, being solutions of ungauged supergravity, can be easily embedded in String Theory.