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Finding the Fourth Proportional to 327.69, 452.13 and 196.65

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Solution

The fourth proportional to 327.69, 452.13 and 196.65 is: 271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.69 : 452.13 = 196.65 : x
  2. Step 2: Convert to fraction form
    327.69/452.13 = 196.65/x
  3. Step 3: Cross multiply
    327.69x = 452.13 × 196.65
  4. Step 4: Simplify right side
    327.69x = 88,911.36
  5. Step 5: Solve for x
    x = 88,911.36/327.69
  6. Step 6: Final answer
    x = 271.33

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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.