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Finding the Fourth Proportional to 338.31, 466.91 and 198.45

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Solution

The fourth proportional to 338.31, 466.91 and 198.45 is: 273.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.31 : 466.91 = 198.45 : x
  2. Step 2: Convert to fraction form
    338.31/466.91 = 198.45/x
  3. Step 3: Cross multiply
    338.31x = 466.91 × 198.45
  4. Step 4: Simplify right side
    338.31x = 92,657.30
  5. Step 5: Solve for x
    x = 92,657.30/338.31
  6. Step 6: Final answer
    x = 273.88

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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.