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Finding the Fourth Proportional to 200.79, 274.88 and 199.44

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Solution

The fourth proportional to 200.79, 274.88 and 199.44 is: 273.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.79 : 274.88 = 199.44 : x
  2. Step 2: Convert to fraction form
    200.79/274.88 = 199.44/x
  3. Step 3: Cross multiply
    200.79x = 274.88 × 199.44
  4. Step 4: Simplify right side
    200.79x = 54,822.07
  5. Step 5: Solve for x
    x = 54,822.07/200.79
  6. Step 6: Final answer
    x = 273.03

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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.