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Finding the Fourth Proportional to 198.88, 274.39 and 120.22

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Solution

The fourth proportional to 198.88, 274.39 and 120.22 is: 165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.88 : 274.39 = 120.22 : x
  2. Step 2: Convert to fraction form
    198.88/274.39 = 120.22/x
  3. Step 3: Cross multiply
    198.88x = 274.39 × 120.22
  4. Step 4: Simplify right side
    198.88x = 32,987.72
  5. Step 5: Solve for x
    x = 32,987.72/198.88
  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.