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Finding the Fourth Proportional to 198.31, 273.25 and 142.87

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Solution

The fourth proportional to 198.31, 273.25 and 142.87 is: 196.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.31 : 273.25 = 142.87 : x
  2. Step 2: Convert to fraction form
    198.31/273.25 = 142.87/x
  3. Step 3: Cross multiply
    198.31x = 273.25 × 142.87
  4. Step 4: Simplify right side
    198.31x = 39,039.23
  5. Step 5: Solve for x
    x = 39,039.23/198.31
  6. Step 6: Final answer
    x = 196.86

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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.