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Finding the Fourth Proportional to 89.54, 133.67 and 77.43

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Solution

The fourth proportional to 89.54, 133.67 and 77.43 is: 115.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.54 : 133.67 = 77.43 : x
  2. Step 2: Convert to fraction form
    89.54/133.67 = 77.43/x
  3. Step 3: Cross multiply
    89.54x = 133.67 × 77.43
  4. Step 4: Simplify right side
    89.54x = 10,350.17
  5. Step 5: Solve for x
    x = 10,350.17/89.54
  6. Step 6: Final answer
    x = 115.59

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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.