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Finding the Fourth Proportional to 381.26, 571.81 and 107.29

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Solution

The fourth proportional to 381.26, 571.81 and 107.29 is: 160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.26 : 571.81 = 107.29 : x
  2. Step 2: Convert to fraction form
    381.26/571.81 = 107.29/x
  3. Step 3: Cross multiply
    381.26x = 571.81 × 107.29
  4. Step 4: Simplify right side
    381.26x = 61,346.10
  5. Step 5: Solve for x
    x = 61,346.10/381.26
  6. Step 6: Final answer
    x = 160.90

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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.