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Finding the Fourth Proportional to 198.04, 272.66 and 179.81

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Solution

The fourth proportional to 198.04, 272.66 and 179.81 is: 247.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.04 : 272.66 = 179.81 : x
  2. Step 2: Convert to fraction form
    198.04/272.66 = 179.81/x
  3. Step 3: Cross multiply
    198.04x = 272.66 × 179.81
  4. Step 4: Simplify right side
    198.04x = 49,026.99
  5. Step 5: Solve for x
    x = 49,026.99/198.04
  6. Step 6: Final answer
    x = 247.56

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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.