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Finding the Fourth Proportional to 198.56, 274.02 and 120.92

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Solution

The fourth proportional to 198.56, 274.02 and 120.92 is: 166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.56 : 274.02 = 120.92 : x
  2. Step 2: Convert to fraction form
    198.56/274.02 = 120.92/x
  3. Step 3: Cross multiply
    198.56x = 274.02 × 120.92
  4. Step 4: Simplify right side
    198.56x = 33,134.50
  5. Step 5: Solve for x
    x = 33,134.50/198.56
  6. Step 6: Final answer
    x = 166.87

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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.