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Finding the Fourth Proportional to 311.87, 467.39 and 138.58

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Solution

The fourth proportional to 311.87, 467.39 and 138.58 is: 207.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.87 : 467.39 = 138.58 : x
  2. Step 2: Convert to fraction form
    311.87/467.39 = 138.58/x
  3. Step 3: Cross multiply
    311.87x = 467.39 × 138.58
  4. Step 4: Simplify right side
    311.87x = 64,770.08
  5. Step 5: Solve for x
    x = 64,770.08/311.87
  6. Step 6: Final answer
    x = 207.68

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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.