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Finding the Fourth Proportional to 381.30, 571.87 and 107.43

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Solution

The fourth proportional to 381.30, 571.87 and 107.43 is: 161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.30 : 571.87 = 107.43 : x
  2. Step 2: Convert to fraction form
    381.30/571.87 = 107.43/x
  3. Step 3: Cross multiply
    381.30x = 571.87 × 107.43
  4. Step 4: Simplify right side
    381.30x = 61,435.99
  5. Step 5: Solve for x
    x = 61,435.99/381.30
  6. Step 6: Final answer
    x = 161.12

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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.