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Finding the Fourth Proportional to 208.90, 286.65 and 205.26

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Solution

The fourth proportional to 208.90, 286.65 and 205.26 is: 281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.90 : 286.65 = 205.26 : x
  2. Step 2: Convert to fraction form
    208.90/286.65 = 205.26/x
  3. Step 3: Cross multiply
    208.90x = 286.65 × 205.26
  4. Step 4: Simplify right side
    208.90x = 58,836.50
  5. Step 5: Solve for x
    x = 58,836.50/208.90
  6. Step 6: Final answer
    x = 281.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.