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Finding the Fourth Proportional to 203.28, 278.52 and 196.36

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Solution

The fourth proportional to 203.28, 278.52 and 196.36 is: 269.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.28 : 278.52 = 196.36 : x
  2. Step 2: Convert to fraction form
    203.28/278.52 = 196.36/x
  3. Step 3: Cross multiply
    203.28x = 278.52 × 196.36
  4. Step 4: Simplify right side
    203.28x = 54,690.19
  5. Step 5: Solve for x
    x = 54,690.19/203.28
  6. Step 6: Final answer
    x = 269.04

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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.