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Finding the Fourth Proportional to 132.72, 198.90 and 74.90

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Solution

The fourth proportional to 132.72, 198.90 and 74.90 is: 112.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.72 : 198.90 = 74.90 : x
  2. Step 2: Convert to fraction form
    132.72/198.90 = 74.90/x
  3. Step 3: Cross multiply
    132.72x = 198.90 × 74.90
  4. Step 4: Simplify right side
    132.72x = 14,897.61
  5. Step 5: Solve for x
    x = 14,897.61/132.72
  6. Step 6: Final answer
    x = 112.25

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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.