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Finding the Fourth Proportional to 108.62, 163.20 and 76.76

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Solution

The fourth proportional to 108.62, 163.20 and 76.76 is: 115.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.62 : 163.20 = 76.76 : x
  2. Step 2: Convert to fraction form
    108.62/163.20 = 76.76/x
  3. Step 3: Cross multiply
    108.62x = 163.20 × 76.76
  4. Step 4: Simplify right side
    108.62x = 12,527.23
  5. Step 5: Solve for x
    x = 12,527.23/108.62
  6. Step 6: Final answer
    x = 115.33

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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.