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Finding the Fourth Proportional to 311.43, 462.92 and 303.12

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Solution

The fourth proportional to 311.43, 462.92 and 303.12 is: 450.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.43 : 462.92 = 303.12 : x
  2. Step 2: Convert to fraction form
    311.43/462.92 = 303.12/x
  3. Step 3: Cross multiply
    311.43x = 462.92 × 303.12
  4. Step 4: Simplify right side
    311.43x = 140,318.79
  5. Step 5: Solve for x
    x = 140,318.79/311.43
  6. Step 6: Final answer
    x = 450.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.