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Finding the Fourth Proportional to 227.37, 312.76 and 199.23

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Solution

The fourth proportional to 227.37, 312.76 and 199.23 is: 274.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.37 : 312.76 = 199.23 : x
  2. Step 2: Convert to fraction form
    227.37/312.76 = 199.23/x
  3. Step 3: Cross multiply
    227.37x = 312.76 × 199.23
  4. Step 4: Simplify right side
    227.37x = 62,310.25
  5. Step 5: Solve for x
    x = 62,310.25/227.37
  6. Step 6: Final answer
    x = 274.04

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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.