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Finding the Fourth Proportional to 101.27, 140.42 and 98.24

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Solution

The fourth proportional to 101.27, 140.42 and 98.24 is: 136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.27 : 140.42 = 98.24 : x
  2. Step 2: Convert to fraction form
    101.27/140.42 = 98.24/x
  3. Step 3: Cross multiply
    101.27x = 140.42 × 98.24
  4. Step 4: Simplify right side
    101.27x = 13,794.40
  5. Step 5: Solve for x
    x = 13,794.40/101.27
  6. Step 6: Final answer
    x = 136.21

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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.