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Finding the Fourth Proportional to 194.40, 268.17 and 120.78

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Solution

The fourth proportional to 194.40, 268.17 and 120.78 is: 166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.40 : 268.17 = 120.78 : x
  2. Step 2: Convert to fraction form
    194.40/268.17 = 120.78/x
  3. Step 3: Cross multiply
    194.40x = 268.17 × 120.78
  4. Step 4: Simplify right side
    194.40x = 32,389.57
  5. Step 5: Solve for x
    x = 32,389.57/194.40
  6. Step 6: Final answer
    x = 166.61

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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.