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Finding the Fourth Proportional to 240.72, 362.82 and 227.52

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Solution

The fourth proportional to 240.72, 362.82 and 227.52 is: 342.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.72 : 362.82 = 227.52 : x
  2. Step 2: Convert to fraction form
    240.72/362.82 = 227.52/x
  3. Step 3: Cross multiply
    240.72x = 362.82 × 227.52
  4. Step 4: Simplify right side
    240.72x = 82,548.81
  5. Step 5: Solve for x
    x = 82,548.81/240.72
  6. Step 6: Final answer
    x = 342.92

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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.