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Finding the Fourth Proportional to 202.11, 280.66 and 200.49

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Solution

The fourth proportional to 202.11, 280.66 and 200.49 is: 278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.11 : 280.66 = 200.49 : x
  2. Step 2: Convert to fraction form
    202.11/280.66 = 200.49/x
  3. Step 3: Cross multiply
    202.11x = 280.66 × 200.49
  4. Step 4: Simplify right side
    202.11x = 56,269.02
  5. Step 5: Solve for x
    x = 56,269.02/202.11
  6. Step 6: Final answer
    x = 278.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.