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Finding the Fourth Proportional to 137.46, 205.99 and 125.31

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Solution

The fourth proportional to 137.46, 205.99 and 125.31 is: 187.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.46 : 205.99 = 125.31 : x
  2. Step 2: Convert to fraction form
    137.46/205.99 = 125.31/x
  3. Step 3: Cross multiply
    137.46x = 205.99 × 125.31
  4. Step 4: Simplify right side
    137.46x = 25,812.61
  5. Step 5: Solve for x
    x = 25,812.61/137.46
  6. Step 6: Final answer
    x = 187.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.