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Finding the Fourth Proportional to 101.27, 140.71 and 99.98

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Solution

The fourth proportional to 101.27, 140.71 and 99.98 is: 138.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.27 : 140.71 = 99.98 : x
  2. Step 2: Convert to fraction form
    101.27/140.71 = 99.98/x
  3. Step 3: Cross multiply
    101.27x = 140.71 × 99.98
  4. Step 4: Simplify right side
    101.27x = 14,067.48
  5. Step 5: Solve for x
    x = 14,067.48/101.27
  6. Step 6: Final answer
    x = 138.92

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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.