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Finding the Fourth Proportional to 101.28, 140.34 and 99.12

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Solution

The fourth proportional to 101.28, 140.34 and 99.12 is: 137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.28 : 140.34 = 99.12 : x
  2. Step 2: Convert to fraction form
    101.28/140.34 = 99.12/x
  3. Step 3: Cross multiply
    101.28x = 140.34 × 99.12
  4. Step 4: Simplify right side
    101.28x = 13,910.50
  5. Step 5: Solve for x
    x = 13,910.50/101.28
  6. Step 6: Final answer
    x = 137.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.