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Finding the Fourth Proportional to 381.80, 573 and 367.22

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Solution

The fourth proportional to 381.80, 573 and 367.22 is: 551.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.80 : 573 = 367.22 : x
  2. Step 2: Convert to fraction form
    381.80/573 = 367.22/x
  3. Step 3: Cross multiply
    381.80x = 573 × 367.22
  4. Step 4: Simplify right side
    381.80x = 210,414.20
  5. Step 5: Solve for x
    x = 210,414.20/381.80
  6. Step 6: Final answer
    x = 551.12

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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.