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Finding the Fourth Proportional to 329.56, 454.79 and 196.84

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Solution

The fourth proportional to 329.56, 454.79 and 196.84 is: 271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.56 : 454.79 = 196.84 : x
  2. Step 2: Convert to fraction form
    329.56/454.79 = 196.84/x
  3. Step 3: Cross multiply
    329.56x = 454.79 × 196.84
  4. Step 4: Simplify right side
    329.56x = 89,520.82
  5. Step 5: Solve for x
    x = 89,520.82/329.56
  6. Step 6: Final answer
    x = 271.63

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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.