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Finding the Fourth Proportional to 309.29, 426.72 and 198.57

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Solution

The fourth proportional to 309.29, 426.72 and 198.57 is: 273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.29 : 426.72 = 198.57 : x
  2. Step 2: Convert to fraction form
    309.29/426.72 = 198.57/x
  3. Step 3: Cross multiply
    309.29x = 426.72 × 198.57
  4. Step 4: Simplify right side
    309.29x = 84,731.66
  5. Step 5: Solve for x
    x = 84,731.66/309.29
  6. Step 6: Final answer
    x = 273.96

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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.