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Finding the Fourth Proportional to 408.20, 563.32 and 221.69

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Solution

The fourth proportional to 408.20, 563.32 and 221.69 is: 305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.20 : 563.32 = 221.69 : x
  2. Step 2: Convert to fraction form
    408.20/563.32 = 221.69/x
  3. Step 3: Cross multiply
    408.20x = 563.32 × 221.69
  4. Step 4: Simplify right side
    408.20x = 124,882.41
  5. Step 5: Solve for x
    x = 124,882.41/408.20
  6. Step 6: Final answer
    x = 305.93

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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.