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Finding the Fourth Proportional to 229.97, 342.63 and 227.71

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Solution

The fourth proportional to 229.97, 342.63 and 227.71 is: 339.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.97 : 342.63 = 227.71 : x
  2. Step 2: Convert to fraction form
    229.97/342.63 = 227.71/x
  3. Step 3: Cross multiply
    229.97x = 342.63 × 227.71
  4. Step 4: Simplify right side
    229.97x = 78,020.71
  5. Step 5: Solve for x
    x = 78,020.71/229.97
  6. Step 6: Final answer
    x = 339.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.