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Finding the Fourth Proportional to 273.97, 411.05 and 111.78

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Solution

The fourth proportional to 273.97, 411.05 and 111.78 is: 167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.97 : 411.05 = 111.78 : x
  2. Step 2: Convert to fraction form
    273.97/411.05 = 111.78/x
  3. Step 3: Cross multiply
    273.97x = 411.05 × 111.78
  4. Step 4: Simplify right side
    273.97x = 45,947.17
  5. Step 5: Solve for x
    x = 45,947.17/273.97
  6. Step 6: Final answer
    x = 167.71

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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.