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Finding the Fourth Proportional to 506.97, 759.89 and 198.69

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Solution

The fourth proportional to 506.97, 759.89 and 198.69 is: 297.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.97 : 759.89 = 198.69 : x
  2. Step 2: Convert to fraction form
    506.97/759.89 = 198.69/x
  3. Step 3: Cross multiply
    506.97x = 759.89 × 198.69
  4. Step 4: Simplify right side
    506.97x = 150,982.54
  5. Step 5: Solve for x
    x = 150,982.54/506.97
  6. Step 6: Final answer
    x = 297.81

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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.