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Finding the Fourth Proportional to 311.25, 429.41 and 206.39

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Solution

The fourth proportional to 311.25, 429.41 and 206.39 is: 284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.25 : 429.41 = 206.39 : x
  2. Step 2: Convert to fraction form
    311.25/429.41 = 206.39/x
  3. Step 3: Cross multiply
    311.25x = 429.41 × 206.39
  4. Step 4: Simplify right side
    311.25x = 88,624.90
  5. Step 5: Solve for x
    x = 88,624.90/311.25
  6. Step 6: Final answer
    x = 284.74

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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.