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Finding the Fourth Proportional to 232.64, 321.02 and 129.14

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Solution

The fourth proportional to 232.64, 321.02 and 129.14 is: 178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.64 : 321.02 = 129.14 : x
  2. Step 2: Convert to fraction form
    232.64/321.02 = 129.14/x
  3. Step 3: Cross multiply
    232.64x = 321.02 × 129.14
  4. Step 4: Simplify right side
    232.64x = 41,456.52
  5. Step 5: Solve for x
    x = 41,456.52/232.64
  6. Step 6: Final answer
    x = 178.20

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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.