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Finding the Fourth Proportional to 200.00, 273.62 and 199.13

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Solution

The fourth proportional to 200.00, 273.62 and 199.13 is: 272.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.00 : 273.62 = 199.13 : x
  2. Step 2: Convert to fraction form
    200.00/273.62 = 199.13/x
  3. Step 3: Cross multiply
    200.00x = 273.62 × 199.13
  4. Step 4: Simplify right side
    200.00x = 54,487.67
  5. Step 5: Solve for x
    x = 54,487.67/200.00
  6. Step 6: Final answer
    x = 272.44

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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.