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Finding the Fourth Proportional to 89.24, 132.71 and 87.21

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Solution

The fourth proportional to 89.24, 132.71 and 87.21 is: 129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.24 : 132.71 = 87.21 : x
  2. Step 2: Convert to fraction form
    89.24/132.71 = 87.21/x
  3. Step 3: Cross multiply
    89.24x = 132.71 × 87.21
  4. Step 4: Simplify right side
    89.24x = 11,573.20
  5. Step 5: Solve for x
    x = 11,573.20/89.24
  6. Step 6: Final answer
    x = 129.69

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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.