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Finding the Fourth Proportional to 311.46, 466.95 and 284.70

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Solution

The fourth proportional to 311.46, 466.95 and 284.70 is: 426.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.46 : 466.95 = 284.70 : x
  2. Step 2: Convert to fraction form
    311.46/466.95 = 284.70/x
  3. Step 3: Cross multiply
    311.46x = 466.95 × 284.70
  4. Step 4: Simplify right side
    311.46x = 132,940.67
  5. Step 5: Solve for x
    x = 132,940.67/311.46
  6. Step 6: Final answer
    x = 426.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.