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Finding the Fourth Proportional to 506.78, 759.96 and 181.97

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Solution

The fourth proportional to 506.78, 759.96 and 181.97 is: 272.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.78 : 759.96 = 181.97 : x
  2. Step 2: Convert to fraction form
    506.78/759.96 = 181.97/x
  3. Step 3: Cross multiply
    506.78x = 759.96 × 181.97
  4. Step 4: Simplify right side
    506.78x = 138,286.12
  5. Step 5: Solve for x
    x = 138,286.12/506.78
  6. Step 6: Final answer
    x = 272.87

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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.