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Finding the Fourth Proportional to 408.16, 563.20 and 252.96

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Solution

The fourth proportional to 408.16, 563.20 and 252.96 is: 349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.16 : 563.20 = 252.96 : x
  2. Step 2: Convert to fraction form
    408.16/563.20 = 252.96/x
  3. Step 3: Cross multiply
    408.16x = 563.20 × 252.96
  4. Step 4: Simplify right side
    408.16x = 142,467.07
  5. Step 5: Solve for x
    x = 142,467.07/408.16
  6. Step 6: Final answer
    x = 349.05

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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.