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Finding the Fourth Proportional to 311.87, 468.54 and 293.44

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Solution

The fourth proportional to 311.87, 468.54 and 293.44 is: 440.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.87 : 468.54 = 293.44 : x
  2. Step 2: Convert to fraction form
    311.87/468.54 = 293.44/x
  3. Step 3: Cross multiply
    311.87x = 468.54 × 293.44
  4. Step 4: Simplify right side
    311.87x = 137,488.38
  5. Step 5: Solve for x
    x = 137,488.38/311.87
  6. Step 6: Final answer
    x = 440.86

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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.