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Finding the Fourth Proportional to 132.76, 198.74 and 87.02

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Solution

The fourth proportional to 132.76, 198.74 and 87.02 is: 130.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.76 : 198.74 = 87.02 : x
  2. Step 2: Convert to fraction form
    132.76/198.74 = 87.02/x
  3. Step 3: Cross multiply
    132.76x = 198.74 × 87.02
  4. Step 4: Simplify right side
    132.76x = 17,294.35
  5. Step 5: Solve for x
    x = 17,294.35/132.76
  6. Step 6: Final answer
    x = 130.27

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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.