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Finding the Fourth Proportional to 660.63, 991.10 and 198.40

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Solution

The fourth proportional to 660.63, 991.10 and 198.40 is: 297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.63 : 991.10 = 198.40 : x
  2. Step 2: Convert to fraction form
    660.63/991.10 = 198.40/x
  3. Step 3: Cross multiply
    660.63x = 991.10 × 198.40
  4. Step 4: Simplify right side
    660.63x = 196,634.24
  5. Step 5: Solve for x
    x = 196,634.24/660.63
  6. Step 6: Final answer
    x = 297.65

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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.