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Finding the Fourth Proportional to 286.77, 395.78 and 269.17

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Solution

The fourth proportional to 286.77, 395.78 and 269.17 is: 371.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.77 : 395.78 = 269.17 : x
  2. Step 2: Convert to fraction form
    286.77/395.78 = 269.17/x
  3. Step 3: Cross multiply
    286.77x = 395.78 × 269.17
  4. Step 4: Simplify right side
    286.77x = 106,532.75
  5. Step 5: Solve for x
    x = 106,532.75/286.77
  6. Step 6: Final answer
    x = 371.50

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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.