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Finding the Fourth Proportional to 89.07, 132.54 and 87.15

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Solution

The fourth proportional to 89.07, 132.54 and 87.15 is: 129.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.07 : 132.54 = 87.15 : x
  2. Step 2: Convert to fraction form
    89.07/132.54 = 87.15/x
  3. Step 3: Cross multiply
    89.07x = 132.54 × 87.15
  4. Step 4: Simplify right side
    89.07x = 11,550.86
  5. Step 5: Solve for x
    x = 11,550.86/89.07
  6. Step 6: Final answer
    x = 129.68

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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.