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Finding the Fourth Proportional to 311.81, 467.71 and 189.23

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Solution

The fourth proportional to 311.81, 467.71 and 189.23 is: 283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.81 : 467.71 = 189.23 : x
  2. Step 2: Convert to fraction form
    311.81/467.71 = 189.23/x
  3. Step 3: Cross multiply
    311.81x = 467.71 × 189.23
  4. Step 4: Simplify right side
    311.81x = 88,505.46
  5. Step 5: Solve for x
    x = 88,505.46/311.81
  6. Step 6: Final answer
    x = 283.85

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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.