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Finding the Fourth Proportional to 194.35, 290.11 and 171.29

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Solution

The fourth proportional to 194.35, 290.11 and 171.29 is: 255.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.35 : 290.11 = 171.29 : x
  2. Step 2: Convert to fraction form
    194.35/290.11 = 171.29/x
  3. Step 3: Cross multiply
    194.35x = 290.11 × 171.29
  4. Step 4: Simplify right side
    194.35x = 49,691.59
  5. Step 5: Solve for x
    x = 49,691.59/194.35
  6. Step 6: Final answer
    x = 255.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.