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Finding the Fourth Proportional to 309.42, 426.86 and 198.86

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Solution

The fourth proportional to 309.42, 426.86 and 198.86 is: 274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.42 : 426.86 = 198.86 : x
  2. Step 2: Convert to fraction form
    309.42/426.86 = 198.86/x
  3. Step 3: Cross multiply
    309.42x = 426.86 × 198.86
  4. Step 4: Simplify right side
    309.42x = 84,882.25
  5. Step 5: Solve for x
    x = 84,882.25/309.42
  6. Step 6: Final answer
    x = 274.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.