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Finding the Fourth Proportional to 108.74, 149.24 and 100.52

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Solution

The fourth proportional to 108.74, 149.24 and 100.52 is: 137.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.74 : 149.24 = 100.52 : x
  2. Step 2: Convert to fraction form
    108.74/149.24 = 100.52/x
  3. Step 3: Cross multiply
    108.74x = 149.24 × 100.52
  4. Step 4: Simplify right side
    108.74x = 15,001.60
  5. Step 5: Solve for x
    x = 15,001.60/108.74
  6. Step 6: Final answer
    x = 137.96

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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.