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Finding the Fourth Proportional to 198.13, 273.62 and 196.78

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Solution

The fourth proportional to 198.13, 273.62 and 196.78 is: 271.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.13 : 273.62 = 196.78 : x
  2. Step 2: Convert to fraction form
    198.13/273.62 = 196.78/x
  3. Step 3: Cross multiply
    198.13x = 273.62 × 196.78
  4. Step 4: Simplify right side
    198.13x = 53,840.59
  5. Step 5: Solve for x
    x = 53,840.59/198.13
  6. Step 6: Final answer
    x = 271.75

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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.