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Finding the Fourth Proportional to 101.42, 140.15 and 82.97

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Solution

The fourth proportional to 101.42, 140.15 and 82.97 is: 114.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.42 : 140.15 = 82.97 : x
  2. Step 2: Convert to fraction form
    101.42/140.15 = 82.97/x
  3. Step 3: Cross multiply
    101.42x = 140.15 × 82.97
  4. Step 4: Simplify right side
    101.42x = 11,627.75
  5. Step 5: Solve for x
    x = 11,627.75/101.42
  6. Step 6: Final answer
    x = 114.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.