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Finding the Fourth Proportional to 198.82, 274.41 and 147.46

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Solution

The fourth proportional to 198.82, 274.41 and 147.46 is: 203.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.82 : 274.41 = 147.46 : x
  2. Step 2: Convert to fraction form
    198.82/274.41 = 147.46/x
  3. Step 3: Cross multiply
    198.82x = 274.41 × 147.46
  4. Step 4: Simplify right side
    198.82x = 40,464.50
  5. Step 5: Solve for x
    x = 40,464.50/198.82
  6. Step 6: Final answer
    x = 203.52

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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.