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Finding the Fourth Proportional to 198.13, 273.18 and 142.84

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Solution

The fourth proportional to 198.13, 273.18 and 142.84 is: 196.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.13 : 273.18 = 142.84 : x
  2. Step 2: Convert to fraction form
    198.13/273.18 = 142.84/x
  3. Step 3: Cross multiply
    198.13x = 273.18 × 142.84
  4. Step 4: Simplify right side
    198.13x = 39,021.03
  5. Step 5: Solve for x
    x = 39,021.03/198.13
  6. Step 6: Final answer
    x = 196.95

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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.