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Finding the Fourth Proportional to 227.43, 314.15 and 199.89

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Solution

The fourth proportional to 227.43, 314.15 and 199.89 is: 276.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.43 : 314.15 = 199.89 : x
  2. Step 2: Convert to fraction form
    227.43/314.15 = 199.89/x
  3. Step 3: Cross multiply
    227.43x = 314.15 × 199.89
  4. Step 4: Simplify right side
    227.43x = 62,794.44
  5. Step 5: Solve for x
    x = 62,794.44/227.43
  6. Step 6: Final answer
    x = 276.10

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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.