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Finding the Fourth Proportional to 660.82, 991.26 and 198.60

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Solution

The fourth proportional to 660.82, 991.26 and 198.60 is: 297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.82 : 991.26 = 198.60 : x
  2. Step 2: Convert to fraction form
    660.82/991.26 = 198.60/x
  3. Step 3: Cross multiply
    660.82x = 991.26 × 198.60
  4. Step 4: Simplify right side
    660.82x = 196,864.24
  5. Step 5: Solve for x
    x = 196,864.24/660.82
  6. Step 6: Final answer
    x = 297.91

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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.