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Finding the Fourth Proportional to 331.26, 496.22 and 194.24

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Solution

The fourth proportional to 331.26, 496.22 and 194.24 is: 290.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.26 : 496.22 = 194.24 : x
  2. Step 2: Convert to fraction form
    331.26/496.22 = 194.24/x
  3. Step 3: Cross multiply
    331.26x = 496.22 × 194.24
  4. Step 4: Simplify right side
    331.26x = 96,382.32
  5. Step 5: Solve for x
    x = 96,382.32/331.26
  6. Step 6: Final answer
    x = 290.96

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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.