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Finding the Fourth Proportional to 272.73, 408.86 and 195.78

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Solution

The fourth proportional to 272.73, 408.86 and 195.78 is: 293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.73 : 408.86 = 195.78 : x
  2. Step 2: Convert to fraction form
    272.73/408.86 = 195.78/x
  3. Step 3: Cross multiply
    272.73x = 408.86 × 195.78
  4. Step 4: Simplify right side
    272.73x = 80,046.61
  5. Step 5: Solve for x
    x = 80,046.61/272.73
  6. Step 6: Final answer
    x = 293.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.