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Finding the Fourth Proportional to 208.09, 286.77 and 198.64

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Solution

The fourth proportional to 208.09, 286.77 and 198.64 is: 273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.09 : 286.77 = 198.64 : x
  2. Step 2: Convert to fraction form
    208.09/286.77 = 198.64/x
  3. Step 3: Cross multiply
    208.09x = 286.77 × 198.64
  4. Step 4: Simplify right side
    208.09x = 56,963.99
  5. Step 5: Solve for x
    x = 56,963.99/208.09
  6. Step 6: Final answer
    x = 273.75

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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.