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Finding the Fourth Proportional to 198.75, 274.18 and 136.73

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Solution

The fourth proportional to 198.75, 274.18 and 136.73 is: 188.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.75 : 274.18 = 136.73 : x
  2. Step 2: Convert to fraction form
    198.75/274.18 = 136.73/x
  3. Step 3: Cross multiply
    198.75x = 274.18 × 136.73
  4. Step 4: Simplify right side
    198.75x = 37,488.63
  5. Step 5: Solve for x
    x = 37,488.63/198.75
  6. Step 6: Final answer
    x = 188.62

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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.