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Finding the Fourth Proportional to 194.09, 290.91 and 85.85

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Solution

The fourth proportional to 194.09, 290.91 and 85.85 is: 128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.09 : 290.91 = 85.85 : x
  2. Step 2: Convert to fraction form
    194.09/290.91 = 85.85/x
  3. Step 3: Cross multiply
    194.09x = 290.91 × 85.85
  4. Step 4: Simplify right side
    194.09x = 24,974.62
  5. Step 5: Solve for x
    x = 24,974.62/194.09
  6. Step 6: Final answer
    x = 128.68

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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.