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Finding the Fourth Proportional to 89.57, 133.46 and 87.10

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Solution

The fourth proportional to 89.57, 133.46 and 87.10 is: 129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.57 : 133.46 = 87.10 : x
  2. Step 2: Convert to fraction form
    89.57/133.46 = 87.10/x
  3. Step 3: Cross multiply
    89.57x = 133.46 × 87.10
  4. Step 4: Simplify right side
    89.57x = 11,624.42
  5. Step 5: Solve for x
    x = 11,624.42/89.57
  6. Step 6: Final answer
    x = 129.78

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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.