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Finding the Fourth Proportional to 311.92, 465.29 and 283.96

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Solution

The fourth proportional to 311.92, 465.29 and 283.96 is: 423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.92 : 465.29 = 283.96 : x
  2. Step 2: Convert to fraction form
    311.92/465.29 = 283.96/x
  3. Step 3: Cross multiply
    311.92x = 465.29 × 283.96
  4. Step 4: Simplify right side
    311.92x = 132,123.75
  5. Step 5: Solve for x
    x = 132,123.75/311.92
  6. Step 6: Final answer
    x = 423.58

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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.