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Finding the Fourth Proportional to 232.53, 320.88 and 127.61

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Solution

The fourth proportional to 232.53, 320.88 and 127.61 is: 176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.53 : 320.88 = 127.61 : x
  2. Step 2: Convert to fraction form
    232.53/320.88 = 127.61/x
  3. Step 3: Cross multiply
    232.53x = 320.88 × 127.61
  4. Step 4: Simplify right side
    232.53x = 40,949.02
  5. Step 5: Solve for x
    x = 40,949.02/232.53
  6. Step 6: Final answer
    x = 176.10

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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.