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Finding the Fourth Proportional to 276.22, 411.89 and 273.78

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Solution

The fourth proportional to 276.22, 411.89 and 273.78 is: 408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.22 : 411.89 = 273.78 : x
  2. Step 2: Convert to fraction form
    276.22/411.89 = 273.78/x
  3. Step 3: Cross multiply
    276.22x = 411.89 × 273.78
  4. Step 4: Simplify right side
    276.22x = 112,767.24
  5. Step 5: Solve for x
    x = 112,767.24/276.22
  6. Step 6: Final answer
    x = 408.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.