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Finding the Fourth Proportional to 89.43, 133.46 and 87.77

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Solution

The fourth proportional to 89.43, 133.46 and 87.77 is: 130.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.43 : 133.46 = 87.77 : x
  2. Step 2: Convert to fraction form
    89.43/133.46 = 87.77/x
  3. Step 3: Cross multiply
    89.43x = 133.46 × 87.77
  4. Step 4: Simplify right side
    89.43x = 11,712.68
  5. Step 5: Solve for x
    x = 11,712.68/89.43
  6. Step 6: Final answer
    x = 130.97

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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.