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Finding the Fourth Proportional to 237.95, 327.99 and 196.43

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Solution

The fourth proportional to 237.95, 327.99 and 196.43 is: 270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.95 : 327.99 = 196.43 : x
  2. Step 2: Convert to fraction form
    237.95/327.99 = 196.43/x
  3. Step 3: Cross multiply
    237.95x = 327.99 × 196.43
  4. Step 4: Simplify right side
    237.95x = 64,425.44
  5. Step 5: Solve for x
    x = 64,425.44/237.95
  6. Step 6: Final answer
    x = 270.76

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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.