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Finding the Fourth Proportional to 101.50, 140.17 and 83.27

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Solution

The fourth proportional to 101.50, 140.17 and 83.27 is: 115.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.50 : 140.17 = 83.27 : x
  2. Step 2: Convert to fraction form
    101.50/140.17 = 83.27/x
  3. Step 3: Cross multiply
    101.50x = 140.17 × 83.27
  4. Step 4: Simplify right side
    101.50x = 11,671.96
  5. Step 5: Solve for x
    x = 11,671.96/101.50
  6. Step 6: Final answer
    x = 115.00

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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.