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Finding the Fourth Proportional to 227.64, 311.19 and 224.40

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Solution

The fourth proportional to 227.64, 311.19 and 224.40 is: 306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.64 : 311.19 = 224.40 : x
  2. Step 2: Convert to fraction form
    227.64/311.19 = 224.40/x
  3. Step 3: Cross multiply
    227.64x = 311.19 × 224.40
  4. Step 4: Simplify right side
    227.64x = 69,831.04
  5. Step 5: Solve for x
    x = 69,831.04/227.64
  6. Step 6: Final answer
    x = 306.76

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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.