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Finding the Fourth Proportional to 89.84, 134.96 and 76.88

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Solution

The fourth proportional to 89.84, 134.96 and 76.88 is: 115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.84 : 134.96 = 76.88 : x
  2. Step 2: Convert to fraction form
    89.84/134.96 = 76.88/x
  3. Step 3: Cross multiply
    89.84x = 134.96 × 76.88
  4. Step 4: Simplify right side
    89.84x = 10,375.72
  5. Step 5: Solve for x
    x = 10,375.72/89.84
  6. Step 6: Final answer
    x = 115.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.