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Finding the Fourth Proportional to 229.44, 315.86 and 198.17

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Solution

The fourth proportional to 229.44, 315.86 and 198.17 is: 272.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.44 : 315.86 = 198.17 : x
  2. Step 2: Convert to fraction form
    229.44/315.86 = 198.17/x
  3. Step 3: Cross multiply
    229.44x = 315.86 × 198.17
  4. Step 4: Simplify right side
    229.44x = 62,593.98
  5. Step 5: Solve for x
    x = 62,593.98/229.44
  6. Step 6: Final answer
    x = 272.81

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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.