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Finding the Fourth Proportional to 232.09, 348.02 and 77.97

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Solution

The fourth proportional to 232.09, 348.02 and 77.97 is: 116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.09 : 348.02 = 77.97 : x
  2. Step 2: Convert to fraction form
    232.09/348.02 = 77.97/x
  3. Step 3: Cross multiply
    232.09x = 348.02 × 77.97
  4. Step 4: Simplify right side
    232.09x = 27,133.38
  5. Step 5: Solve for x
    x = 27,133.38/232.09
  6. Step 6: Final answer
    x = 116.91

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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.