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Finding the Fourth Proportional to 102.27, 140.18 and 100.86

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Solution

The fourth proportional to 102.27, 140.18 and 100.86 is: 138.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.27 : 140.18 = 100.86 : x
  2. Step 2: Convert to fraction form
    102.27/140.18 = 100.86/x
  3. Step 3: Cross multiply
    102.27x = 140.18 × 100.86
  4. Step 4: Simplify right side
    102.27x = 14,138.55
  5. Step 5: Solve for x
    x = 14,138.55/102.27
  6. Step 6: Final answer
    x = 138.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.