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Finding the Fourth Proportional to 409.60, 565.97 and 327.39

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Solution

The fourth proportional to 409.60, 565.97 and 327.39 is: 452.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.60 : 565.97 = 327.39 : x
  2. Step 2: Convert to fraction form
    409.60/565.97 = 327.39/x
  3. Step 3: Cross multiply
    409.60x = 565.97 × 327.39
  4. Step 4: Simplify right side
    409.60x = 185,291.00
  5. Step 5: Solve for x
    x = 185,291.00/409.60
  6. Step 6: Final answer
    x = 452.37

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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.