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Finding the Fourth Proportional to 208.91, 290.33 and 206.33

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Solution

The fourth proportional to 208.91, 290.33 and 206.33 is: 286.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.91 : 290.33 = 206.33 : x
  2. Step 2: Convert to fraction form
    208.91/290.33 = 206.33/x
  3. Step 3: Cross multiply
    208.91x = 290.33 × 206.33
  4. Step 4: Simplify right side
    208.91x = 59,901.31
  5. Step 5: Solve for x
    x = 59,901.31/208.91
  6. Step 6: Final answer
    x = 286.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.