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Finding the Fourth Proportional to 240.38, 362.40 and 227.06

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Solution

The fourth proportional to 240.38, 362.40 and 227.06 is: 342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.38 : 362.40 = 227.06 : x
  2. Step 2: Convert to fraction form
    240.38/362.40 = 227.06/x
  3. Step 3: Cross multiply
    240.38x = 362.40 × 227.06
  4. Step 4: Simplify right side
    240.38x = 82,286.54
  5. Step 5: Solve for x
    x = 82,286.54/240.38
  6. Step 6: Final answer
    x = 342.32

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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.