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Finding the Fourth Proportional to 208.09, 309.96 and 198.73

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Solution

The fourth proportional to 208.09, 309.96 and 198.73 is: 296.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.09 : 309.96 = 198.73 : x
  2. Step 2: Convert to fraction form
    208.09/309.96 = 198.73/x
  3. Step 3: Cross multiply
    208.09x = 309.96 × 198.73
  4. Step 4: Simplify right side
    208.09x = 61,598.35
  5. Step 5: Solve for x
    x = 61,598.35/208.09
  6. Step 6: Final answer
    x = 296.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.