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Finding the Fourth Proportional to 101.08, 140.42 and 100.19

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Solution

The fourth proportional to 101.08, 140.42 and 100.19 is: 139.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.08 : 140.42 = 100.19 : x
  2. Step 2: Convert to fraction form
    101.08/140.42 = 100.19/x
  3. Step 3: Cross multiply
    101.08x = 140.42 × 100.19
  4. Step 4: Simplify right side
    101.08x = 14,067.98
  5. Step 5: Solve for x
    x = 14,067.98/101.08
  6. Step 6: Final answer
    x = 139.18

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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.