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Finding the Fourth Proportional to 232.97, 348.92 and 134.01

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Solution

The fourth proportional to 232.97, 348.92 and 134.01 is: 200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.97 : 348.92 = 134.01 : x
  2. Step 2: Convert to fraction form
    232.97/348.92 = 134.01/x
  3. Step 3: Cross multiply
    232.97x = 348.92 × 134.01
  4. Step 4: Simplify right side
    232.97x = 46,758.77
  5. Step 5: Solve for x
    x = 46,758.77/232.97
  6. Step 6: Final answer
    x = 200.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.