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Finding the Fourth Proportional to 149.72, 223.28 and 137.92

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Solution

The fourth proportional to 149.72, 223.28 and 137.92 is: 205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.72 : 223.28 = 137.92 : x
  2. Step 2: Convert to fraction form
    149.72/223.28 = 137.92/x
  3. Step 3: Cross multiply
    149.72x = 223.28 × 137.92
  4. Step 4: Simplify right side
    149.72x = 30,794.78
  5. Step 5: Solve for x
    x = 30,794.78/149.72
  6. Step 6: Final answer
    x = 205.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.