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Finding the Fourth Proportional to 354.46, 488.94 and 243.97

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Solution

The fourth proportional to 354.46, 488.94 and 243.97 is: 336.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.46 : 488.94 = 243.97 : x
  2. Step 2: Convert to fraction form
    354.46/488.94 = 243.97/x
  3. Step 3: Cross multiply
    354.46x = 488.94 × 243.97
  4. Step 4: Simplify right side
    354.46x = 119,286.69
  5. Step 5: Solve for x
    x = 119,286.69/354.46
  6. Step 6: Final answer
    x = 336.53

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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.