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Finding the Fourth Proportional to 286.99, 395.50 and 208.17

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Solution

The fourth proportional to 286.99, 395.50 and 208.17 is: 286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.99 : 395.50 = 208.17 : x
  2. Step 2: Convert to fraction form
    286.99/395.50 = 208.17/x
  3. Step 3: Cross multiply
    286.99x = 395.50 × 208.17
  4. Step 4: Simplify right side
    286.99x = 82,331.24
  5. Step 5: Solve for x
    x = 82,331.24/286.99
  6. Step 6: Final answer
    x = 286.88

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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.