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Finding the Fourth Proportional to 141.38, 210.92 and 132.86

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Solution

The fourth proportional to 141.38, 210.92 and 132.86 is: 198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.38 : 210.92 = 132.86 : x
  2. Step 2: Convert to fraction form
    141.38/210.92 = 132.86/x
  3. Step 3: Cross multiply
    141.38x = 210.92 × 132.86
  4. Step 4: Simplify right side
    141.38x = 28,022.83
  5. Step 5: Solve for x
    x = 28,022.83/141.38
  6. Step 6: Final answer
    x = 198.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.