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Finding the Fourth Proportional to 311.45, 429.76 and 171.55

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Solution

The fourth proportional to 311.45, 429.76 and 171.55 is: 236.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.45 : 429.76 = 171.55 : x
  2. Step 2: Convert to fraction form
    311.45/429.76 = 171.55/x
  3. Step 3: Cross multiply
    311.45x = 429.76 × 171.55
  4. Step 4: Simplify right side
    311.45x = 73,725.33
  5. Step 5: Solve for x
    x = 73,725.33/311.45
  6. Step 6: Final answer
    x = 236.72

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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.