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Finding the Fourth Proportional to 194.34, 268.22 and 119.65

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Solution

The fourth proportional to 194.34, 268.22 and 119.65 is: 165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.34 : 268.22 = 119.65 : x
  2. Step 2: Convert to fraction form
    194.34/268.22 = 119.65/x
  3. Step 3: Cross multiply
    194.34x = 268.22 × 119.65
  4. Step 4: Simplify right side
    194.34x = 32,092.65
  5. Step 5: Solve for x
    x = 32,092.65/194.34
  6. Step 6: Final answer
    x = 165.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.