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Finding the Fourth Proportional to 311.94, 467.31 and 189.90

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Solution

The fourth proportional to 311.94, 467.31 and 189.90 is: 284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.94 : 467.31 = 189.90 : x
  2. Step 2: Convert to fraction form
    311.94/467.31 = 189.90/x
  3. Step 3: Cross multiply
    311.94x = 467.31 × 189.90
  4. Step 4: Simplify right side
    311.94x = 88,743.57
  5. Step 5: Solve for x
    x = 88,743.57/311.94
  6. Step 6: Final answer
    x = 284.49

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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.