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Finding the Fourth Proportional to 100.96, 138.20 and 97.68

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Solution

The fourth proportional to 100.96, 138.20 and 97.68 is: 133.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.96 : 138.20 = 97.68 : x
  2. Step 2: Convert to fraction form
    100.96/138.20 = 97.68/x
  3. Step 3: Cross multiply
    100.96x = 138.20 × 97.68
  4. Step 4: Simplify right side
    100.96x = 13,499.38
  5. Step 5: Solve for x
    x = 13,499.38/100.96
  6. Step 6: Final answer
    x = 133.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.