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Finding the Fourth Proportional to 327.96, 452.41 and 223.04

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Solution

The fourth proportional to 327.96, 452.41 and 223.04 is: 307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.96 : 452.41 = 223.04 : x
  2. Step 2: Convert to fraction form
    327.96/452.41 = 223.04/x
  3. Step 3: Cross multiply
    327.96x = 452.41 × 223.04
  4. Step 4: Simplify right side
    327.96x = 100,906.10
  5. Step 5: Solve for x
    x = 100,906.10/327.96
  6. Step 6: Final answer
    x = 307.68

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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.