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Finding the Fourth Proportional to 660.91, 991.51 and 198.73

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Solution

The fourth proportional to 660.91, 991.51 and 198.73 is: 298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.91 : 991.51 = 198.73 : x
  2. Step 2: Convert to fraction form
    660.91/991.51 = 198.73/x
  3. Step 3: Cross multiply
    660.91x = 991.51 × 198.73
  4. Step 4: Simplify right side
    660.91x = 197,042.78
  5. Step 5: Solve for x
    x = 197,042.78/660.91
  6. Step 6: Final answer
    x = 298.14

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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.