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Finding the Fourth Proportional to 194.15, 292.39 and 161.96

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Solution

The fourth proportional to 194.15, 292.39 and 161.96 is: 243.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.15 : 292.39 = 161.96 : x
  2. Step 2: Convert to fraction form
    194.15/292.39 = 161.96/x
  3. Step 3: Cross multiply
    194.15x = 292.39 × 161.96
  4. Step 4: Simplify right side
    194.15x = 47,353.62
  5. Step 5: Solve for x
    x = 47,353.62/194.15
  6. Step 6: Final answer
    x = 243.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.