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Finding the Fourth Proportional to 329.07, 454.11 and 196.39

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Solution

The fourth proportional to 329.07, 454.11 and 196.39 is: 271.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.07 : 454.11 = 196.39 : x
  2. Step 2: Convert to fraction form
    329.07/454.11 = 196.39/x
  3. Step 3: Cross multiply
    329.07x = 454.11 × 196.39
  4. Step 4: Simplify right side
    329.07x = 89,184.15
  5. Step 5: Solve for x
    x = 89,184.15/329.07
  6. Step 6: Final answer
    x = 271.02

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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.