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Finding the Fourth Proportional to 237.97, 326.70 and 231.94

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Solution

The fourth proportional to 237.97, 326.70 and 231.94 is: 318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.97 : 326.70 = 231.94 : x
  2. Step 2: Convert to fraction form
    237.97/326.70 = 231.94/x
  3. Step 3: Cross multiply
    237.97x = 326.70 × 231.94
  4. Step 4: Simplify right side
    237.97x = 75,774.80
  5. Step 5: Solve for x
    x = 75,774.80/237.97
  6. Step 6: Final answer
    x = 318.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.