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Finding the Fourth Proportional to 327.02, 451.28 and 196.00

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Solution

The fourth proportional to 327.02, 451.28 and 196.00 is: 270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.02 : 451.28 = 196.00 : x
  2. Step 2: Convert to fraction form
    327.02/451.28 = 196.00/x
  3. Step 3: Cross multiply
    327.02x = 451.28 × 196.00
  4. Step 4: Simplify right side
    327.02x = 88,451.68
  5. Step 5: Solve for x
    x = 88,451.68/327.02
  6. Step 6: Final answer
    x = 270.48

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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.