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Finding the Fourth Proportional to 101.32, 140.63 and 97.36

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Solution

The fourth proportional to 101.32, 140.63 and 97.36 is: 135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.32 : 140.63 = 97.36 : x
  2. Step 2: Convert to fraction form
    101.32/140.63 = 97.36/x
  3. Step 3: Cross multiply
    101.32x = 140.63 × 97.36
  4. Step 4: Simplify right side
    101.32x = 13,691.74
  5. Step 5: Solve for x
    x = 13,691.74/101.32
  6. Step 6: Final answer
    x = 135.13

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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.