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Finding the Fourth Proportional to 101.28, 138.78 and 97.92

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Solution

The fourth proportional to 101.28, 138.78 and 97.92 is: 134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.28 : 138.78 = 97.92 : x
  2. Step 2: Convert to fraction form
    101.28/138.78 = 97.92/x
  3. Step 3: Cross multiply
    101.28x = 138.78 × 97.92
  4. Step 4: Simplify right side
    101.28x = 13,589.34
  5. Step 5: Solve for x
    x = 13,589.34/101.28
  6. Step 6: Final answer
    x = 134.18

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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.