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Finding the Fourth Proportional to 276.48, 408.96 and 275.04

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Solution

The fourth proportional to 276.48, 408.96 and 275.04 is: 406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.48 : 408.96 = 275.04 : x
  2. Step 2: Convert to fraction form
    276.48/408.96 = 275.04/x
  3. Step 3: Cross multiply
    276.48x = 408.96 × 275.04
  4. Step 4: Simplify right side
    276.48x = 112,480.36
  5. Step 5: Solve for x
    x = 112,480.36/276.48
  6. Step 6: Final answer
    x = 406.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.