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Finding the Fourth Proportional to 198.26, 273.73 and 124.69

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Solution

The fourth proportional to 198.26, 273.73 and 124.69 is: 172.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.26 : 273.73 = 124.69 : x
  2. Step 2: Convert to fraction form
    198.26/273.73 = 124.69/x
  3. Step 3: Cross multiply
    198.26x = 273.73 × 124.69
  4. Step 4: Simplify right side
    198.26x = 34,131.14
  5. Step 5: Solve for x
    x = 34,131.14/198.26
  6. Step 6: Final answer
    x = 172.15

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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.