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Finding the Fourth Proportional to 89.14, 132.65 and 87.76

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Solution

The fourth proportional to 89.14, 132.65 and 87.76 is: 130.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.14 : 132.65 = 87.76 : x
  2. Step 2: Convert to fraction form
    89.14/132.65 = 87.76/x
  3. Step 3: Cross multiply
    89.14x = 132.65 × 87.76
  4. Step 4: Simplify right side
    89.14x = 11,641.36
  5. Step 5: Solve for x
    x = 11,641.36/89.14
  6. Step 6: Final answer
    x = 130.60

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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.