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Finding the Fourth Proportional to 198.42, 273.75 and 120.78

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Solution

The fourth proportional to 198.42, 273.75 and 120.78 is: 166.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.42 : 273.75 = 120.78 : x
  2. Step 2: Convert to fraction form
    198.42/273.75 = 120.78/x
  3. Step 3: Cross multiply
    198.42x = 273.75 × 120.78
  4. Step 4: Simplify right side
    198.42x = 33,063.53
  5. Step 5: Solve for x
    x = 33,063.53/198.42
  6. Step 6: Final answer
    x = 166.63

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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.