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Finding the Fourth Proportional to 200.42, 274.42 and 199.80

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Solution

The fourth proportional to 200.42, 274.42 and 199.80 is: 273.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.42 : 274.42 = 199.80 : x
  2. Step 2: Convert to fraction form
    200.42/274.42 = 199.80/x
  3. Step 3: Cross multiply
    200.42x = 274.42 × 199.80
  4. Step 4: Simplify right side
    200.42x = 54,829.12
  5. Step 5: Solve for x
    x = 54,829.12/200.42
  6. Step 6: Final answer
    x = 273.57

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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.