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Finding the Fourth Proportional to 252.29, 376.57 and 219.71

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Solution

The fourth proportional to 252.29, 376.57 and 219.71 is: 327.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.29 : 376.57 = 219.71 : x
  2. Step 2: Convert to fraction form
    252.29/376.57 = 219.71/x
  3. Step 3: Cross multiply
    252.29x = 376.57 × 219.71
  4. Step 4: Simplify right side
    252.29x = 82,736.19
  5. Step 5: Solve for x
    x = 82,736.19/252.29
  6. Step 6: Final answer
    x = 327.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.