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Finding the Fourth Proportional to 88.39, 132.42 and 76.78

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Solution

The fourth proportional to 88.39, 132.42 and 76.78 is: 115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.39 : 132.42 = 76.78 : x
  2. Step 2: Convert to fraction form
    88.39/132.42 = 76.78/x
  3. Step 3: Cross multiply
    88.39x = 132.42 × 76.78
  4. Step 4: Simplify right side
    88.39x = 10,166.88
  5. Step 5: Solve for x
    x = 10,166.88/88.39
  6. Step 6: Final answer
    x = 115.03

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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.