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Finding the Fourth Proportional to 168.71, 232.90 and 133.70

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Solution

The fourth proportional to 168.71, 232.90 and 133.70 is: 184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.71 : 232.90 = 133.70 : x
  2. Step 2: Convert to fraction form
    168.71/232.90 = 133.70/x
  3. Step 3: Cross multiply
    168.71x = 232.90 × 133.70
  4. Step 4: Simplify right side
    168.71x = 31,138.92
  5. Step 5: Solve for x
    x = 31,138.92/168.71
  6. Step 6: Final answer
    x = 184.57

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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.