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Finding the Fourth Proportional to 444.92, 667.61 and 198.30

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Solution

The fourth proportional to 444.92, 667.61 and 198.30 is: 297.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.92 : 667.61 = 198.30 : x
  2. Step 2: Convert to fraction form
    444.92/667.61 = 198.30/x
  3. Step 3: Cross multiply
    444.92x = 667.61 × 198.30
  4. Step 4: Simplify right side
    444.92x = 132,383.72
  5. Step 5: Solve for x
    x = 132,383.72/444.92
  6. Step 6: Final answer
    x = 297.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.