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Finding the Fourth Proportional to 132.53, 198.81 and 41.20

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Solution

The fourth proportional to 132.53, 198.81 and 41.20 is: 61.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.53 : 198.81 = 41.20 : x
  2. Step 2: Convert to fraction form
    132.53/198.81 = 41.20/x
  3. Step 3: Cross multiply
    132.53x = 198.81 × 41.20
  4. Step 4: Simplify right side
    132.53x = 8,190.97
  5. Step 5: Solve for x
    x = 8,190.97/132.53
  6. Step 6: Final answer
    x = 61.81

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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.