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Finding the Fourth Proportional to 311.29, 429.60 and 206.31

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Solution

The fourth proportional to 311.29, 429.60 and 206.31 is: 284.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.29 : 429.60 = 206.31 : x
  2. Step 2: Convert to fraction form
    311.29/429.60 = 206.31/x
  3. Step 3: Cross multiply
    311.29x = 429.60 × 206.31
  4. Step 4: Simplify right side
    311.29x = 88,630.78
  5. Step 5: Solve for x
    x = 88,630.78/311.29
  6. Step 6: Final answer
    x = 284.72

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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.