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Finding the Fourth Proportional to 198.26, 273.59 and 109.74

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Solution

The fourth proportional to 198.26, 273.59 and 109.74 is: 151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.26 : 273.59 = 109.74 : x
  2. Step 2: Convert to fraction form
    198.26/273.59 = 109.74/x
  3. Step 3: Cross multiply
    198.26x = 273.59 × 109.74
  4. Step 4: Simplify right side
    198.26x = 30,023.22
  5. Step 5: Solve for x
    x = 30,023.22/198.26
  6. Step 6: Final answer
    x = 151.44

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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.