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Finding the Fourth Proportional to 276.80, 411.92 and 273.92

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Solution

The fourth proportional to 276.80, 411.92 and 273.92 is: 407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.80 : 411.92 = 273.92 : x
  2. Step 2: Convert to fraction form
    276.80/411.92 = 273.92/x
  3. Step 3: Cross multiply
    276.80x = 411.92 × 273.92
  4. Step 4: Simplify right side
    276.80x = 112,833.13
  5. Step 5: Solve for x
    x = 112,833.13/276.80
  6. Step 6: Final answer
    x = 407.63

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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.