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Finding the Fourth Proportional to 660.29, 990.42 and 198.07

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Solution

The fourth proportional to 660.29, 990.42 and 198.07 is: 297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.29 : 990.42 = 198.07 : x
  2. Step 2: Convert to fraction form
    660.29/990.42 = 198.07/x
  3. Step 3: Cross multiply
    660.29x = 990.42 × 198.07
  4. Step 4: Simplify right side
    660.29x = 196,166.55
  5. Step 5: Solve for x
    x = 196,166.55/660.29
  6. Step 6: Final answer
    x = 297.09

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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.