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Finding the Fourth Proportional to 198.27, 273.15 and 170.19

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Solution

The fourth proportional to 198.27, 273.15 and 170.19 is: 234.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.27 : 273.15 = 170.19 : x
  2. Step 2: Convert to fraction form
    198.27/273.15 = 170.19/x
  3. Step 3: Cross multiply
    198.27x = 273.15 × 170.19
  4. Step 4: Simplify right side
    198.27x = 46,487.40
  5. Step 5: Solve for x
    x = 46,487.40/198.27
  6. Step 6: Final answer
    x = 234.47

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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.