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Finding the Fourth Proportional to 381.26, 571.63 and 137.75

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Solution

The fourth proportional to 381.26, 571.63 and 137.75 is: 206.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.26 : 571.63 = 137.75 : x
  2. Step 2: Convert to fraction form
    381.26/571.63 = 137.75/x
  3. Step 3: Cross multiply
    381.26x = 571.63 × 137.75
  4. Step 4: Simplify right side
    381.26x = 78,742.03
  5. Step 5: Solve for x
    x = 78,742.03/381.26
  6. Step 6: Final answer
    x = 206.53

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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.