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Finding the Fourth Proportional to 408.86, 563.55 and 331.10

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Solution

The fourth proportional to 408.86, 563.55 and 331.10 is: 456.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.86 : 563.55 = 331.10 : x
  2. Step 2: Convert to fraction form
    408.86/563.55 = 331.10/x
  3. Step 3: Cross multiply
    408.86x = 563.55 × 331.10
  4. Step 4: Simplify right side
    408.86x = 186,591.41
  5. Step 5: Solve for x
    x = 186,591.41/408.86
  6. Step 6: Final answer
    x = 456.37

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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.