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Finding the Fourth Proportional to 132.57, 198.85 and 113.13

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Solution

The fourth proportional to 132.57, 198.85 and 113.13 is: 169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.57 : 198.85 = 113.13 : x
  2. Step 2: Convert to fraction form
    132.57/198.85 = 113.13/x
  3. Step 3: Cross multiply
    132.57x = 198.85 × 113.13
  4. Step 4: Simplify right side
    132.57x = 22,495.90
  5. Step 5: Solve for x
    x = 22,495.90/132.57
  6. Step 6: Final answer
    x = 169.69

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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.