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Finding the Fourth Proportional to 408.80, 563.64 and 253.28

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Solution

The fourth proportional to 408.80, 563.64 and 253.28 is: 349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.80 : 563.64 = 253.28 : x
  2. Step 2: Convert to fraction form
    408.80/563.64 = 253.28/x
  3. Step 3: Cross multiply
    408.80x = 563.64 × 253.28
  4. Step 4: Simplify right side
    408.80x = 142,758.74
  5. Step 5: Solve for x
    x = 142,758.74/408.80
  6. Step 6: Final answer
    x = 349.21

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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.