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Finding the Fourth Proportional to 311.28, 463.26 and 299.76

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Solution

The fourth proportional to 311.28, 463.26 and 299.76 is: 446.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.28 : 463.26 = 299.76 : x
  2. Step 2: Convert to fraction form
    311.28/463.26 = 299.76/x
  3. Step 3: Cross multiply
    311.28x = 463.26 × 299.76
  4. Step 4: Simplify right side
    311.28x = 138,866.82
  5. Step 5: Solve for x
    x = 138,866.82/311.28
  6. Step 6: Final answer
    x = 446.12

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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.