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Finding the Fourth Proportional to 286.93, 396.11 and 194.16

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Solution

The fourth proportional to 286.93, 396.11 and 194.16 is: 268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.93 : 396.11 = 194.16 : x
  2. Step 2: Convert to fraction form
    286.93/396.11 = 194.16/x
  3. Step 3: Cross multiply
    286.93x = 396.11 × 194.16
  4. Step 4: Simplify right side
    286.93x = 76,908.72
  5. Step 5: Solve for x
    x = 76,908.72/286.93
  6. Step 6: Final answer
    x = 268.04

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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.