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Finding the Fourth Proportional to 381.05, 571.73 and 227.28

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Solution

The fourth proportional to 381.05, 571.73 and 227.28 is: 341.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.05 : 571.73 = 227.28 : x
  2. Step 2: Convert to fraction form
    381.05/571.73 = 227.28/x
  3. Step 3: Cross multiply
    381.05x = 571.73 × 227.28
  4. Step 4: Simplify right side
    381.05x = 129,941.66
  5. Step 5: Solve for x
    x = 129,941.66/381.05
  6. Step 6: Final answer
    x = 341.01

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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.