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Finding the Fourth Proportional to 311.36, 467.30 and 167.18

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Solution

The fourth proportional to 311.36, 467.30 and 167.18 is: 250.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.36 : 467.30 = 167.18 : x
  2. Step 2: Convert to fraction form
    311.36/467.30 = 167.18/x
  3. Step 3: Cross multiply
    311.36x = 467.30 × 167.18
  4. Step 4: Simplify right side
    311.36x = 78,121.30
  5. Step 5: Solve for x
    x = 78,121.30/311.36
  6. Step 6: Final answer
    x = 250.91

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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.