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Finding the Fourth Proportional to 409.75, 566.00 and 327.43

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Solution

The fourth proportional to 409.75, 566.00 and 327.43 is: 452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.75 : 566.00 = 327.43 : x
  2. Step 2: Convert to fraction form
    409.75/566.00 = 327.43/x
  3. Step 3: Cross multiply
    409.75x = 566.00 × 327.43
  4. Step 4: Simplify right side
    409.75x = 185,327.52
  5. Step 5: Solve for x
    x = 185,327.52/409.75
  6. Step 6: Final answer
    x = 452.30

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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.