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Finding the Fourth Proportional to 198.32, 273.42 and 163.22

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Solution

The fourth proportional to 198.32, 273.42 and 163.22 is: 225.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.32 : 273.42 = 163.22 : x
  2. Step 2: Convert to fraction form
    198.32/273.42 = 163.22/x
  3. Step 3: Cross multiply
    198.32x = 273.42 × 163.22
  4. Step 4: Simplify right side
    198.32x = 44,627.61
  5. Step 5: Solve for x
    x = 44,627.61/198.32
  6. Step 6: Final answer
    x = 225.03

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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.