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Finding the Fourth Proportional to 286.26, 394.65 and 208.50

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Solution

The fourth proportional to 286.26, 394.65 and 208.50 is: 287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.26 : 394.65 = 208.50 : x
  2. Step 2: Convert to fraction form
    286.26/394.65 = 208.50/x
  3. Step 3: Cross multiply
    286.26x = 394.65 × 208.50
  4. Step 4: Simplify right side
    286.26x = 82,284.53
  5. Step 5: Solve for x
    x = 82,284.53/286.26
  6. Step 6: Final answer
    x = 287.45

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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.