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Finding the Fourth Proportional to 194.92, 290.96 and 180.44

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Solution

The fourth proportional to 194.92, 290.96 and 180.44 is: 269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.92 : 290.96 = 180.44 : x
  2. Step 2: Convert to fraction form
    194.92/290.96 = 180.44/x
  3. Step 3: Cross multiply
    194.92x = 290.96 × 180.44
  4. Step 4: Simplify right side
    194.92x = 52,500.82
  5. Step 5: Solve for x
    x = 52,500.82/194.92
  6. Step 6: Final answer
    x = 269.35

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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.