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Finding the Fourth Proportional to 311.33, 429.46 and 200.69

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Solution

The fourth proportional to 311.33, 429.46 and 200.69 is: 276.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.33 : 429.46 = 200.69 : x
  2. Step 2: Convert to fraction form
    311.33/429.46 = 200.69/x
  3. Step 3: Cross multiply
    311.33x = 429.46 × 200.69
  4. Step 4: Simplify right side
    311.33x = 86,188.33
  5. Step 5: Solve for x
    x = 86,188.33/311.33
  6. Step 6: Final answer
    x = 276.84

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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.