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Finding the Fourth Proportional to 270.81, 406.42 and 198.86

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Solution

The fourth proportional to 270.81, 406.42 and 198.86 is: 298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.81 : 406.42 = 198.86 : x
  2. Step 2: Convert to fraction form
    270.81/406.42 = 198.86/x
  3. Step 3: Cross multiply
    270.81x = 406.42 × 198.86
  4. Step 4: Simplify right side
    270.81x = 80,818.15
  5. Step 5: Solve for x
    x = 80,818.15/270.81
  6. Step 6: Final answer
    x = 298.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.