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Finding the Fourth Proportional to 506.29, 759.48 and 217.75

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Solution

The fourth proportional to 506.29, 759.48 and 217.75 is: 326.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.29 : 759.48 = 217.75 : x
  2. Step 2: Convert to fraction form
    506.29/759.48 = 217.75/x
  3. Step 3: Cross multiply
    506.29x = 759.48 × 217.75
  4. Step 4: Simplify right side
    506.29x = 165,376.77
  5. Step 5: Solve for x
    x = 165,376.77/506.29
  6. Step 6: Final answer
    x = 326.64

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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.