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Finding the Fourth Proportional to 218.28, 300.03 and 195.96

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Solution

The fourth proportional to 218.28, 300.03 and 195.96 is: 269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.28 : 300.03 = 195.96 : x
  2. Step 2: Convert to fraction form
    218.28/300.03 = 195.96/x
  3. Step 3: Cross multiply
    218.28x = 300.03 × 195.96
  4. Step 4: Simplify right side
    218.28x = 58,793.88
  5. Step 5: Solve for x
    x = 58,793.88/218.28
  6. Step 6: Final answer
    x = 269.35

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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.