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Finding the Fourth Proportional to 198.89, 274.47 and 120.20

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Solution

The fourth proportional to 198.89, 274.47 and 120.20 is: 165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.89 : 274.47 = 120.20 : x
  2. Step 2: Convert to fraction form
    198.89/274.47 = 120.20/x
  3. Step 3: Cross multiply
    198.89x = 274.47 × 120.20
  4. Step 4: Simplify right side
    198.89x = 32,989.62
  5. Step 5: Solve for x
    x = 32,989.62/198.89
  6. Step 6: Final answer
    x = 165.87

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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.