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Finding the Fourth Proportional to 198.15, 273.69 and 167.18

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Solution

The fourth proportional to 198.15, 273.69 and 167.18 is: 230.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.15 : 273.69 = 167.18 : x
  2. Step 2: Convert to fraction form
    198.15/273.69 = 167.18/x
  3. Step 3: Cross multiply
    198.15x = 273.69 × 167.18
  4. Step 4: Simplify right side
    198.15x = 45,754.13
  5. Step 5: Solve for x
    x = 45,754.13/198.15
  6. Step 6: Final answer
    x = 230.91

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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.