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Finding the Fourth Proportional to 199.47, 275.46 and 125.91

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Solution

The fourth proportional to 199.47, 275.46 and 125.91 is: 173.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.47 : 275.46 = 125.91 : x
  2. Step 2: Convert to fraction form
    199.47/275.46 = 125.91/x
  3. Step 3: Cross multiply
    199.47x = 275.46 × 125.91
  4. Step 4: Simplify right side
    199.47x = 34,683.17
  5. Step 5: Solve for x
    x = 34,683.17/199.47
  6. Step 6: Final answer
    x = 173.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.