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Finding the Fourth Proportional to 408.44, 563.28 and 365.24

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Solution

The fourth proportional to 408.44, 563.28 and 365.24 is: 503.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.44 : 563.28 = 365.24 : x
  2. Step 2: Convert to fraction form
    408.44/563.28 = 365.24/x
  3. Step 3: Cross multiply
    408.44x = 563.28 × 365.24
  4. Step 4: Simplify right side
    408.44x = 205,732.39
  5. Step 5: Solve for x
    x = 205,732.39/408.44
  6. Step 6: Final answer
    x = 503.70

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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.