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Finding the Fourth Proportional to 381.36, 572.92 and 219.44

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Solution

The fourth proportional to 381.36, 572.92 and 219.44 is: 329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.36 : 572.92 = 219.44 : x
  2. Step 2: Convert to fraction form
    381.36/572.92 = 219.44/x
  3. Step 3: Cross multiply
    381.36x = 572.92 × 219.44
  4. Step 4: Simplify right side
    381.36x = 125,721.56
  5. Step 5: Solve for x
    x = 125,721.56/381.36
  6. Step 6: Final answer
    x = 329.67

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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.