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Finding the Fourth Proportional to 227.68, 312.18 and 224.80

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Solution

The fourth proportional to 227.68, 312.18 and 224.80 is: 308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.68 : 312.18 = 224.80 : x
  2. Step 2: Convert to fraction form
    227.68/312.18 = 224.80/x
  3. Step 3: Cross multiply
    227.68x = 312.18 × 224.80
  4. Step 4: Simplify right side
    227.68x = 70,178.06
  5. Step 5: Solve for x
    x = 70,178.06/227.68
  6. Step 6: Final answer
    x = 308.23

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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.