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Finding the Fourth Proportional to 194.45, 290.25 and 171.38

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Solution

The fourth proportional to 194.45, 290.25 and 171.38 is: 255.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.45 : 290.25 = 171.38 : x
  2. Step 2: Convert to fraction form
    194.45/290.25 = 171.38/x
  3. Step 3: Cross multiply
    194.45x = 290.25 × 171.38
  4. Step 4: Simplify right side
    194.45x = 49,742.78
  5. Step 5: Solve for x
    x = 49,742.78/194.45
  6. Step 6: Final answer
    x = 255.82

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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.