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Finding the Fourth Proportional to 286.72, 395.49 and 170.26

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Solution

The fourth proportional to 286.72, 395.49 and 170.26 is: 234.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.72 : 395.49 = 170.26 : x
  2. Step 2: Convert to fraction form
    286.72/395.49 = 170.26/x
  3. Step 3: Cross multiply
    286.72x = 395.49 × 170.26
  4. Step 4: Simplify right side
    286.72x = 67,336.13
  5. Step 5: Solve for x
    x = 67,336.13/286.72
  6. Step 6: Final answer
    x = 234.85

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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.