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Finding the Fourth Proportional to 199.15, 272.88 and 196.58

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Solution

The fourth proportional to 199.15, 272.88 and 196.58 is: 269.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.15 : 272.88 = 196.58 : x
  2. Step 2: Convert to fraction form
    199.15/272.88 = 196.58/x
  3. Step 3: Cross multiply
    199.15x = 272.88 × 196.58
  4. Step 4: Simplify right side
    199.15x = 53,643.43
  5. Step 5: Solve for x
    x = 53,643.43/199.15
  6. Step 6: Final answer
    x = 269.37

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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.