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Finding the Fourth Proportional to 338.03, 466.52 and 198.11

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Solution

The fourth proportional to 338.03, 466.52 and 198.11 is: 273.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.03 : 466.52 = 198.11 : x
  2. Step 2: Convert to fraction form
    338.03/466.52 = 198.11/x
  3. Step 3: Cross multiply
    338.03x = 466.52 × 198.11
  4. Step 4: Simplify right side
    338.03x = 92,418.95
  5. Step 5: Solve for x
    x = 92,418.95/338.03
  6. Step 6: Final answer
    x = 273.41

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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.