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Finding the Fourth Proportional to 408.52, 563.84 and 344.96

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Solution

The fourth proportional to 408.52, 563.84 and 344.96 is: 476.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.52 : 563.84 = 344.96 : x
  2. Step 2: Convert to fraction form
    408.52/563.84 = 344.96/x
  3. Step 3: Cross multiply
    408.52x = 563.84 × 344.96
  4. Step 4: Simplify right side
    408.52x = 194,502.25
  5. Step 5: Solve for x
    x = 194,502.25/408.52
  6. Step 6: Final answer
    x = 476.11

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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.