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Finding the Fourth Proportional to 327.93, 452.43 and 196.98

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Solution

The fourth proportional to 327.93, 452.43 and 196.98 is: 271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.93 : 452.43 = 196.98 : x
  2. Step 2: Convert to fraction form
    327.93/452.43 = 196.98/x
  3. Step 3: Cross multiply
    327.93x = 452.43 × 196.98
  4. Step 4: Simplify right side
    327.93x = 89,119.66
  5. Step 5: Solve for x
    x = 89,119.66/327.93
  6. Step 6: Final answer
    x = 271.76

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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.