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Finding the Fourth Proportional to 286.52, 394.90 and 208.76

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Solution

The fourth proportional to 286.52, 394.90 and 208.76 is: 287.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.52 : 394.90 = 208.76 : x
  2. Step 2: Convert to fraction form
    286.52/394.90 = 208.76/x
  3. Step 3: Cross multiply
    286.52x = 394.90 × 208.76
  4. Step 4: Simplify right side
    286.52x = 82,439.32
  5. Step 5: Solve for x
    x = 82,439.32/286.52
  6. Step 6: Final answer
    x = 287.73

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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.