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Finding the Fourth Proportional to 198.42, 275.45 and 196.32

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Solution

The fourth proportional to 198.42, 275.45 and 196.32 is: 272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.42 : 275.45 = 196.32 : x
  2. Step 2: Convert to fraction form
    198.42/275.45 = 196.32/x
  3. Step 3: Cross multiply
    198.42x = 275.45 × 196.32
  4. Step 4: Simplify right side
    198.42x = 54,075.36
  5. Step 5: Solve for x
    x = 54,075.36/198.42
  6. Step 6: Final answer
    x = 272.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.