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Finding the Fourth Proportional to 217.58, 326.37 and 126.91

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Solution

The fourth proportional to 217.58, 326.37 and 126.91 is: 190.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.58 : 326.37 = 126.91 : x
  2. Step 2: Convert to fraction form
    217.58/326.37 = 126.91/x
  3. Step 3: Cross multiply
    217.58x = 326.37 × 126.91
  4. Step 4: Simplify right side
    217.58x = 41,419.62
  5. Step 5: Solve for x
    x = 41,419.62/217.58
  6. Step 6: Final answer
    x = 190.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.