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Finding the Fourth Proportional to 381.50, 572.36 and 219.30

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Solution

The fourth proportional to 381.50, 572.36 and 219.30 is: 329.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.50 : 572.36 = 219.30 : x
  2. Step 2: Convert to fraction form
    381.50/572.36 = 219.30/x
  3. Step 3: Cross multiply
    381.50x = 572.36 × 219.30
  4. Step 4: Simplify right side
    381.50x = 125,518.55
  5. Step 5: Solve for x
    x = 125,518.55/381.50
  6. Step 6: Final answer
    x = 329.01

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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.