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Finding the Fourth Proportional to 256.08, 353.16 and 177.27

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Solution

The fourth proportional to 256.08, 353.16 and 177.27 is: 244.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.08 : 353.16 = 177.27 : x
  2. Step 2: Convert to fraction form
    256.08/353.16 = 177.27/x
  3. Step 3: Cross multiply
    256.08x = 353.16 × 177.27
  4. Step 4: Simplify right side
    256.08x = 62,604.67
  5. Step 5: Solve for x
    x = 62,604.67/256.08
  6. Step 6: Final answer
    x = 244.47

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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.