I have an reclassified raster, I need to convert it to floating point, the "float" tool does not suffice, because I need the output values to be spatially interpolated. For example, at the midpoint of zone 2 (halfway between borders of zone 1 and zone 3) I need the values to be 2.5, using the float tool these values would simply be 2.0

I am using ArcGIS 10.2

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If I understand well, what you want is smooth boundaries. Therefore you should use focal statistics with the MEAN value and a small (3*3) window. Low pass filter could also help.

As a remark, this function will not "add" pixels between each class. It will create a gradient of 3 3 3 2.66 2.33 2 2 2 from 3 3 3 3 2 2 2 2. If you want a value between your pixel, 3 3 2 2 -> 3 3 3 2.5 2 2 2 then you need to resample with a reduced pixel size (using bilinear interpolation)

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