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Finding the Fourth Proportional to 311.52, 432.78 and 308.67

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Solution

The fourth proportional to 311.52, 432.78 and 308.67 is: 428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.52 : 432.78 = 308.67 : x
  2. Step 2: Convert to fraction form
    311.52/432.78 = 308.67/x
  3. Step 3: Cross multiply
    311.52x = 432.78 × 308.67
  4. Step 4: Simplify right side
    311.52x = 133,586.20
  5. Step 5: Solve for x
    x = 133,586.20/311.52
  6. Step 6: Final answer
    x = 428.82

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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.