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Finding the Fourth Proportional to 232.52, 348.78 and 136.27

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Solution

The fourth proportional to 232.52, 348.78 and 136.27 is: 204.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.52 : 348.78 = 136.27 : x
  2. Step 2: Convert to fraction form
    232.52/348.78 = 136.27/x
  3. Step 3: Cross multiply
    232.52x = 348.78 × 136.27
  4. Step 4: Simplify right side
    232.52x = 47,527.38
  5. Step 5: Solve for x
    x = 47,527.38/232.52
  6. Step 6: Final answer
    x = 204.40

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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.