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Finding the Fourth Proportional to 311.45, 429.80 and 171.56

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Solution

The fourth proportional to 311.45, 429.80 and 171.56 is: 236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.45 : 429.80 = 171.56 : x
  2. Step 2: Convert to fraction form
    311.45/429.80 = 171.56/x
  3. Step 3: Cross multiply
    311.45x = 429.80 × 171.56
  4. Step 4: Simplify right side
    311.45x = 73,736.70
  5. Step 5: Solve for x
    x = 73,736.70/311.45
  6. Step 6: Final answer
    x = 236.76

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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.