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Finding the Fourth Proportional to 329.03, 453.96 and 196.19

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Solution

The fourth proportional to 329.03, 453.96 and 196.19 is: 270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.03 : 453.96 = 196.19 : x
  2. Step 2: Convert to fraction form
    329.03/453.96 = 196.19/x
  3. Step 3: Cross multiply
    329.03x = 453.96 × 196.19
  4. Step 4: Simplify right side
    329.03x = 89,062.41
  5. Step 5: Solve for x
    x = 89,062.41/329.03
  6. Step 6: Final answer
    x = 270.68

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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.