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Finding the Fourth Proportional to 198.85, 274.47 and 125.21

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Solution

The fourth proportional to 198.85, 274.47 and 125.21 is: 172.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.85 : 274.47 = 125.21 : x
  2. Step 2: Convert to fraction form
    198.85/274.47 = 125.21/x
  3. Step 3: Cross multiply
    198.85x = 274.47 × 125.21
  4. Step 4: Simplify right side
    198.85x = 34,366.39
  5. Step 5: Solve for x
    x = 34,366.39/198.85
  6. Step 6: Final answer
    x = 172.83

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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.