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Finding the Fourth Proportional to 276.20, 412.31 and 273.87

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Solution

The fourth proportional to 276.20, 412.31 and 273.87 is: 408.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.20 : 412.31 = 273.87 : x
  2. Step 2: Convert to fraction form
    276.20/412.31 = 273.87/x
  3. Step 3: Cross multiply
    276.20x = 412.31 × 273.87
  4. Step 4: Simplify right side
    276.20x = 112,919.34
  5. Step 5: Solve for x
    x = 112,919.34/276.20
  6. Step 6: Final answer
    x = 408.83

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