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Finding the Fourth Proportional to 381.19, 571.56 and 137.65

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Solution

The fourth proportional to 381.19, 571.56 and 137.65 is: 206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.19 : 571.56 = 137.65 : x
  2. Step 2: Convert to fraction form
    381.19/571.56 = 137.65/x
  3. Step 3: Cross multiply
    381.19x = 571.56 × 137.65
  4. Step 4: Simplify right side
    381.19x = 78,675.23
  5. Step 5: Solve for x
    x = 78,675.23/381.19
  6. Step 6: Final answer
    x = 206.39

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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.