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Finding the Fourth Proportional to 102.27, 141.81 and 99.24

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Solution

The fourth proportional to 102.27, 141.81 and 99.24 is: 137.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.27 : 141.81 = 99.24 : x
  2. Step 2: Convert to fraction form
    102.27/141.81 = 99.24/x
  3. Step 3: Cross multiply
    102.27x = 141.81 × 99.24
  4. Step 4: Simplify right side
    102.27x = 14,073.22
  5. Step 5: Solve for x
    x = 14,073.22/102.27
  6. Step 6: Final answer
    x = 137.61

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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.