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Finding the Fourth Proportional to 100.97, 140.26 and 98.09

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Solution

The fourth proportional to 100.97, 140.26 and 98.09 is: 136.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.97 : 140.26 = 98.09 : x
  2. Step 2: Convert to fraction form
    100.97/140.26 = 98.09/x
  3. Step 3: Cross multiply
    100.97x = 140.26 × 98.09
  4. Step 4: Simplify right side
    100.97x = 13,757.61
  5. Step 5: Solve for x
    x = 13,757.61/100.97
  6. Step 6: Final answer
    x = 136.25

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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.