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Finding the Fourth Proportional to 202.32, 280.89 and 196.38

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Solution

The fourth proportional to 202.32, 280.89 and 196.38 is: 272.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.32 : 280.89 = 196.38 : x
  2. Step 2: Convert to fraction form
    202.32/280.89 = 196.38/x
  3. Step 3: Cross multiply
    202.32x = 280.89 × 196.38
  4. Step 4: Simplify right side
    202.32x = 55,161.18
  5. Step 5: Solve for x
    x = 55,161.18/202.32
  6. Step 6: Final answer
    x = 272.64

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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.