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Finding the Fourth Proportional to 311.27, 432.37 and 306.31

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Solution

The fourth proportional to 311.27, 432.37 and 306.31 is: 425.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.27 : 432.37 = 306.31 : x
  2. Step 2: Convert to fraction form
    311.27/432.37 = 306.31/x
  3. Step 3: Cross multiply
    311.27x = 432.37 × 306.31
  4. Step 4: Simplify right side
    311.27x = 132,439.25
  5. Step 5: Solve for x
    x = 132,439.25/311.27
  6. Step 6: Final answer
    x = 425.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.