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Finding the Fourth Proportional to 198.76, 274.50 and 136.75

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Solution

The fourth proportional to 198.76, 274.50 and 136.75 is: 188.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.76 : 274.50 = 136.75 : x
  2. Step 2: Convert to fraction form
    198.76/274.50 = 136.75/x
  3. Step 3: Cross multiply
    198.76x = 274.50 × 136.75
  4. Step 4: Simplify right side
    198.76x = 37,537.88
  5. Step 5: Solve for x
    x = 37,537.88/198.76
  6. Step 6: Final answer
    x = 188.86

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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.