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Finding the Fourth Proportional to 380.82, 571.38 and 137.37

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Solution

The fourth proportional to 380.82, 571.38 and 137.37 is: 206.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.82 : 571.38 = 137.37 : x
  2. Step 2: Convert to fraction form
    380.82/571.38 = 137.37/x
  3. Step 3: Cross multiply
    380.82x = 571.38 × 137.37
  4. Step 4: Simplify right side
    380.82x = 78,490.47
  5. Step 5: Solve for x
    x = 78,490.47/380.82
  6. Step 6: Final answer
    x = 206.11

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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.