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Finding the Fourth Proportional to 506.38, 759.69 and 159.74

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Solution

The fourth proportional to 506.38, 759.69 and 159.74 is: 239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.38 : 759.69 = 159.74 : x
  2. Step 2: Convert to fraction form
    506.38/759.69 = 159.74/x
  3. Step 3: Cross multiply
    506.38x = 759.69 × 159.74
  4. Step 4: Simplify right side
    506.38x = 121,348.28
  5. Step 5: Solve for x
    x = 121,348.28/506.38
  6. Step 6: Final answer
    x = 239.64

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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.