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Finding the Fourth Proportional to 338.40, 467.01 and 198.53

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Solution

The fourth proportional to 338.40, 467.01 and 198.53 is: 273.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.40 : 467.01 = 198.53 : x
  2. Step 2: Convert to fraction form
    338.40/467.01 = 198.53/x
  3. Step 3: Cross multiply
    338.40x = 467.01 × 198.53
  4. Step 4: Simplify right side
    338.40x = 92,714.91
  5. Step 5: Solve for x
    x = 92,714.91/338.40
  6. Step 6: Final answer
    x = 273.98

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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.