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Finding the Fourth Proportional to 286.85, 395.87 and 217.06

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Solution

The fourth proportional to 286.85, 395.87 and 217.06 is: 299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.85 : 395.87 = 217.06 : x
  2. Step 2: Convert to fraction form
    286.85/395.87 = 217.06/x
  3. Step 3: Cross multiply
    286.85x = 395.87 × 217.06
  4. Step 4: Simplify right side
    286.85x = 85,927.54
  5. Step 5: Solve for x
    x = 85,927.54/286.85
  6. Step 6: Final answer
    x = 299.56

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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.