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Finding the Fourth Proportional to 328.97, 454.02 and 196.25

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Solution

The fourth proportional to 328.97, 454.02 and 196.25 is: 270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.97 : 454.02 = 196.25 : x
  2. Step 2: Convert to fraction form
    328.97/454.02 = 196.25/x
  3. Step 3: Cross multiply
    328.97x = 454.02 × 196.25
  4. Step 4: Simplify right side
    328.97x = 89,100.44
  5. Step 5: Solve for x
    x = 89,100.44/328.97
  6. Step 6: Final answer
    x = 270.85

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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.