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Finding the Fourth Proportional to 256.08, 353.24 and 164.08

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Solution

The fourth proportional to 256.08, 353.24 and 164.08 is: 226.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.08 : 353.24 = 164.08 : x
  2. Step 2: Convert to fraction form
    256.08/353.24 = 164.08/x
  3. Step 3: Cross multiply
    256.08x = 353.24 × 164.08
  4. Step 4: Simplify right side
    256.08x = 57,959.62
  5. Step 5: Solve for x
    x = 57,959.62/256.08
  6. Step 6: Final answer
    x = 226.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.