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Finding the Fourth Proportional to 227.85, 316.60 and 224.94

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Solution

The fourth proportional to 227.85, 316.60 and 224.94 is: 312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.85 : 316.60 = 224.94 : x
  2. Step 2: Convert to fraction form
    227.85/316.60 = 224.94/x
  3. Step 3: Cross multiply
    227.85x = 316.60 × 224.94
  4. Step 4: Simplify right side
    227.85x = 71,216.63
  5. Step 5: Solve for x
    x = 71,216.63/227.85
  6. Step 6: Final answer
    x = 312.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.