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Finding the Fourth Proportional to 237.43, 327.12 and 197.94

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Solution

The fourth proportional to 237.43, 327.12 and 197.94 is: 272.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.43 : 327.12 = 197.94 : x
  2. Step 2: Convert to fraction form
    237.43/327.12 = 197.94/x
  3. Step 3: Cross multiply
    237.43x = 327.12 × 197.94
  4. Step 4: Simplify right side
    237.43x = 64,750.13
  5. Step 5: Solve for x
    x = 64,750.13/237.43
  6. Step 6: Final answer
    x = 272.72

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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.