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Finding the Fourth Proportional to 327.88, 452.20 and 196.79

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Solution

The fourth proportional to 327.88, 452.20 and 196.79 is: 271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.88 : 452.20 = 196.79 : x
  2. Step 2: Convert to fraction form
    327.88/452.20 = 196.79/x
  3. Step 3: Cross multiply
    327.88x = 452.20 × 196.79
  4. Step 4: Simplify right side
    327.88x = 88,987.45
  5. Step 5: Solve for x
    x = 88,987.45/327.88
  6. Step 6: Final answer
    x = 271.41

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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.