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Finding the Fourth Proportional to 198.03, 271.80 and 179.58

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Solution

The fourth proportional to 198.03, 271.80 and 179.58 is: 246.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.03 : 271.80 = 179.58 : x
  2. Step 2: Convert to fraction form
    198.03/271.80 = 179.58/x
  3. Step 3: Cross multiply
    198.03x = 271.80 × 179.58
  4. Step 4: Simplify right side
    198.03x = 48,809.84
  5. Step 5: Solve for x
    x = 48,809.84/198.03
  6. Step 6: Final answer
    x = 246.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.