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Finding the Fourth Proportional to 200.29, 273.98 and 199.48

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Solution

The fourth proportional to 200.29, 273.98 and 199.48 is: 272.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.29 : 273.98 = 199.48 : x
  2. Step 2: Convert to fraction form
    200.29/273.98 = 199.48/x
  3. Step 3: Cross multiply
    200.29x = 273.98 × 199.48
  4. Step 4: Simplify right side
    200.29x = 54,653.53
  5. Step 5: Solve for x
    x = 54,653.53/200.29
  6. Step 6: Final answer
    x = 272.87

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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.