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Finding the Fourth Proportional to 251.72, 378.42 and 206.41

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Solution

The fourth proportional to 251.72, 378.42 and 206.41 is: 310.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.72 : 378.42 = 206.41 : x
  2. Step 2: Convert to fraction form
    251.72/378.42 = 206.41/x
  3. Step 3: Cross multiply
    251.72x = 378.42 × 206.41
  4. Step 4: Simplify right side
    251.72x = 78,107.78
  5. Step 5: Solve for x
    x = 78,107.78/251.72
  6. Step 6: Final answer
    x = 310.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.