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Finding the Fourth Proportional to 506.27, 759.50 and 209.78

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Solution

The fourth proportional to 506.27, 759.50 and 209.78 is: 314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.27 : 759.50 = 209.78 : x
  2. Step 2: Convert to fraction form
    506.27/759.50 = 209.78/x
  3. Step 3: Cross multiply
    506.27x = 759.50 × 209.78
  4. Step 4: Simplify right side
    506.27x = 159,327.91
  5. Step 5: Solve for x
    x = 159,327.91/506.27
  6. Step 6: Final answer
    x = 314.71

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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.