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Finding the Fourth Proportional to 243.47, 363.39 and 227.41

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Solution

The fourth proportional to 243.47, 363.39 and 227.41 is: 339.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.47 : 363.39 = 227.41 : x
  2. Step 2: Convert to fraction form
    243.47/363.39 = 227.41/x
  3. Step 3: Cross multiply
    243.47x = 363.39 × 227.41
  4. Step 4: Simplify right side
    243.47x = 82,636.76
  5. Step 5: Solve for x
    x = 82,636.76/243.47
  6. Step 6: Final answer
    x = 339.41

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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.