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Finding the Fourth Proportional to 408.09, 563.39 and 282.24

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Solution

The fourth proportional to 408.09, 563.39 and 282.24 is: 389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.09 : 563.39 = 282.24 : x
  2. Step 2: Convert to fraction form
    408.09/563.39 = 282.24/x
  3. Step 3: Cross multiply
    408.09x = 563.39 × 282.24
  4. Step 4: Simplify right side
    408.09x = 159,011.19
  5. Step 5: Solve for x
    x = 159,011.19/408.09
  6. Step 6: Final answer
    x = 389.65

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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.