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Finding the Fourth Proportional to 238.25, 359.22 and 190.73

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Solution

The fourth proportional to 238.25, 359.22 and 190.73 is: 287.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.25 : 359.22 = 190.73 : x
  2. Step 2: Convert to fraction form
    238.25/359.22 = 190.73/x
  3. Step 3: Cross multiply
    238.25x = 359.22 × 190.73
  4. Step 4: Simplify right side
    238.25x = 68,514.03
  5. Step 5: Solve for x
    x = 68,514.03/238.25
  6. Step 6: Final answer
    x = 287.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.