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Finding the Fourth Proportional to 198.02, 273.21 and 120.42

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Solution

The fourth proportional to 198.02, 273.21 and 120.42 is: 166.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.02 : 273.21 = 120.42 : x
  2. Step 2: Convert to fraction form
    198.02/273.21 = 120.42/x
  3. Step 3: Cross multiply
    198.02x = 273.21 × 120.42
  4. Step 4: Simplify right side
    198.02x = 32,899.95
  5. Step 5: Solve for x
    x = 32,899.95/198.02
  6. Step 6: Final answer
    x = 166.14

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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.