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Finding the Fourth Proportional to 227.42, 342.96 and 224.35

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Solution

The fourth proportional to 227.42, 342.96 and 224.35 is: 338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.42 : 342.96 = 224.35 : x
  2. Step 2: Convert to fraction form
    227.42/342.96 = 224.35/x
  3. Step 3: Cross multiply
    227.42x = 342.96 × 224.35
  4. Step 4: Simplify right side
    227.42x = 76,942.84
  5. Step 5: Solve for x
    x = 76,942.84/227.42
  6. Step 6: Final answer
    x = 338.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.