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Finding the Fourth Proportional to 408.27, 563.09 and 275.45

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Solution

The fourth proportional to 408.27, 563.09 and 275.45 is: 379.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.27 : 563.09 = 275.45 : x
  2. Step 2: Convert to fraction form
    408.27/563.09 = 275.45/x
  3. Step 3: Cross multiply
    408.27x = 563.09 × 275.45
  4. Step 4: Simplify right side
    408.27x = 155,098.95
  5. Step 5: Solve for x
    x = 155,098.95/408.27
  6. Step 6: Final answer
    x = 379.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.