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Finding the Fourth Proportional to 393.61, 543.17 and 227.81

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Solution

The fourth proportional to 393.61, 543.17 and 227.81 is: 314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.61 : 543.17 = 227.81 : x
  2. Step 2: Convert to fraction form
    393.61/543.17 = 227.81/x
  3. Step 3: Cross multiply
    393.61x = 543.17 × 227.81
  4. Step 4: Simplify right side
    393.61x = 123,735.70
  5. Step 5: Solve for x
    x = 123,735.70/393.61
  6. Step 6: Final answer
    x = 314.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.