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Finding the Fourth Proportional to 199.08, 272.79 and 197.19

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Solution

The fourth proportional to 199.08, 272.79 and 197.19 is: 270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.08 : 272.79 = 197.19 : x
  2. Step 2: Convert to fraction form
    199.08/272.79 = 197.19/x
  3. Step 3: Cross multiply
    199.08x = 272.79 × 197.19
  4. Step 4: Simplify right side
    199.08x = 53,791.46
  5. Step 5: Solve for x
    x = 53,791.46/199.08
  6. Step 6: Final answer
    x = 270.20

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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.