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Finding the Fourth Proportional to 198.06, 272.95 and 183.35

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Solution

The fourth proportional to 198.06, 272.95 and 183.35 is: 252.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.06 : 272.95 = 183.35 : x
  2. Step 2: Convert to fraction form
    198.06/272.95 = 183.35/x
  3. Step 3: Cross multiply
    198.06x = 272.95 × 183.35
  4. Step 4: Simplify right side
    198.06x = 50,045.38
  5. Step 5: Solve for x
    x = 50,045.38/198.06
  6. Step 6: Final answer
    x = 252.68

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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.