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Finding the Fourth Proportional to 286.80, 395.75 and 168.77

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Solution

The fourth proportional to 286.80, 395.75 and 168.77 is: 232.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.80 : 395.75 = 168.77 : x
  2. Step 2: Convert to fraction form
    286.80/395.75 = 168.77/x
  3. Step 3: Cross multiply
    286.80x = 395.75 × 168.77
  4. Step 4: Simplify right side
    286.80x = 66,787.90
  5. Step 5: Solve for x
    x = 66,787.90/286.80
  6. Step 6: Final answer
    x = 232.87

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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.