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Finding the Fourth Proportional to 286.99, 395.92 and 168.97

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Solution

The fourth proportional to 286.99, 395.92 and 168.97 is: 233.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.99 : 395.92 = 168.97 : x
  2. Step 2: Convert to fraction form
    286.99/395.92 = 168.97/x
  3. Step 3: Cross multiply
    286.99x = 395.92 × 168.97
  4. Step 4: Simplify right side
    286.99x = 66,898.60
  5. Step 5: Solve for x
    x = 66,898.60/286.99
  6. Step 6: Final answer
    x = 233.10

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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.