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Finding the Fourth Proportional to 408.69, 563.97 and 229.23

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Solution

The fourth proportional to 408.69, 563.97 and 229.23 is: 316.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.69 : 563.97 = 229.23 : x
  2. Step 2: Convert to fraction form
    408.69/563.97 = 229.23/x
  3. Step 3: Cross multiply
    408.69x = 563.97 × 229.23
  4. Step 4: Simplify right side
    408.69x = 129,278.84
  5. Step 5: Solve for x
    x = 129,278.84/408.69
  6. Step 6: Final answer
    x = 316.32

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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.