Speed of propagation of sound wave?

[whitestork]

Homework Statement

Assume a piano has 100 different notes from the lowest to highest. We go up from note to note by the same frequency ratio, say starting at 20 Hz. Assuming that the lowest frequency excites the basilar membrane, 30 mm long, at its end, and that this represents a quarter of a wavelength.

What is the speed of propagation of the sound wave in the inner ear?

Homework Equations

Frequency = velocity / wavelength (?)

The Attempt at a Solution

My attempt at the solution resulted in a velocity of 2.4 m/s, but I'm sure that I'm using the wrong equation.

 

[member 553083]

I started by calculating the wavelength of the lowest frequency, which would be 4.5 m. Then I calculated the frequency of the highest note, which would be 2000 Hz. Next, I used the equation f = v/λ which gave me a velocity of 2.4 m/s. But I'm not sure if this is the correct equation to use and if my answer is correct.