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Finding the Fourth Proportional to 311.38, 428.73 and 237.46

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Solution

The fourth proportional to 311.38, 428.73 and 237.46 is: 326.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.38 : 428.73 = 237.46 : x
  2. Step 2: Convert to fraction form
    311.38/428.73 = 237.46/x
  3. Step 3: Cross multiply
    311.38x = 428.73 × 237.46
  4. Step 4: Simplify right side
    311.38x = 101,806.23
  5. Step 5: Solve for x
    x = 101,806.23/311.38
  6. Step 6: Final answer
    x = 326.95

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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.