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Finding the Fourth Proportional to 311.18, 429.37 and 178.43

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Solution

The fourth proportional to 311.18, 429.37 and 178.43 is: 246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.18 : 429.37 = 178.43 : x
  2. Step 2: Convert to fraction form
    311.18/429.37 = 178.43/x
  3. Step 3: Cross multiply
    311.18x = 429.37 × 178.43
  4. Step 4: Simplify right side
    311.18x = 76,609.90
  5. Step 5: Solve for x
    x = 76,609.90/311.18
  6. Step 6: Final answer
    x = 246.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.