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Finding the Fourth Proportional to 202.08, 280.24 and 196.08

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Solution

The fourth proportional to 202.08, 280.24 and 196.08 is: 271.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.08 : 280.24 = 196.08 : x
  2. Step 2: Convert to fraction form
    202.08/280.24 = 196.08/x
  3. Step 3: Cross multiply
    202.08x = 280.24 × 196.08
  4. Step 4: Simplify right side
    202.08x = 54,949.46
  5. Step 5: Solve for x
    x = 54,949.46/202.08
  6. Step 6: Final answer
    x = 271.92

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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.