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Finding the Fourth Proportional to 194.67, 290.66 and 136.44

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Solution

The fourth proportional to 194.67, 290.66 and 136.44 is: 203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.67 : 290.66 = 136.44 : x
  2. Step 2: Convert to fraction form
    194.67/290.66 = 136.44/x
  3. Step 3: Cross multiply
    194.67x = 290.66 × 136.44
  4. Step 4: Simplify right side
    194.67x = 39,656.97
  5. Step 5: Solve for x
    x = 39,656.97/194.67
  6. Step 6: Final answer
    x = 203.71

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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.