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Finding the Fourth Proportional to 232.38, 320.52 and 154.74

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Solution

The fourth proportional to 232.38, 320.52 and 154.74 is: 213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.38 : 320.52 = 154.74 : x
  2. Step 2: Convert to fraction form
    232.38/320.52 = 154.74/x
  3. Step 3: Cross multiply
    232.38x = 320.52 × 154.74
  4. Step 4: Simplify right side
    232.38x = 49,597.26
  5. Step 5: Solve for x
    x = 49,597.26/232.38
  6. Step 6: Final answer
    x = 213.43

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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.