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Finding the Fourth Proportional to 327.72, 452.34 and 196.77

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Solution

The fourth proportional to 327.72, 452.34 and 196.77 is: 271.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.72 : 452.34 = 196.77 : x
  2. Step 2: Convert to fraction form
    327.72/452.34 = 196.77/x
  3. Step 3: Cross multiply
    327.72x = 452.34 × 196.77
  4. Step 4: Simplify right side
    327.72x = 89,006.94
  5. Step 5: Solve for x
    x = 89,006.94/327.72
  6. Step 6: Final answer
    x = 271.59

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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.