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Finding the Fourth Proportional to 194.38, 291.16 and 161.80

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Solution

The fourth proportional to 194.38, 291.16 and 161.80 is: 242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.38 : 291.16 = 161.80 : x
  2. Step 2: Convert to fraction form
    194.38/291.16 = 161.80/x
  3. Step 3: Cross multiply
    194.38x = 291.16 × 161.80
  4. Step 4: Simplify right side
    194.38x = 47,109.69
  5. Step 5: Solve for x
    x = 47,109.69/194.38
  6. Step 6: Final answer
    x = 242.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.