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Finding the Fourth Proportional to 311.41, 429.70 and 194.97

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Solution

The fourth proportional to 311.41, 429.70 and 194.97 is: 269.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.41 : 429.70 = 194.97 : x
  2. Step 2: Convert to fraction form
    311.41/429.70 = 194.97/x
  3. Step 3: Cross multiply
    311.41x = 429.70 × 194.97
  4. Step 4: Simplify right side
    311.41x = 83,778.61
  5. Step 5: Solve for x
    x = 83,778.61/311.41
  6. Step 6: Final answer
    x = 269.03

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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.