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Finding the Fourth Proportional to 660.88, 991.42 and 198.66

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Solution

The fourth proportional to 660.88, 991.42 and 198.66 is: 298.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.88 : 991.42 = 198.66 : x
  2. Step 2: Convert to fraction form
    660.88/991.42 = 198.66/x
  3. Step 3: Cross multiply
    660.88x = 991.42 × 198.66
  4. Step 4: Simplify right side
    660.88x = 196,955.50
  5. Step 5: Solve for x
    x = 196,955.50/660.88
  6. Step 6: Final answer
    x = 298.02

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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.