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Finding the Fourth Proportional to 660.06, 990.12 and 197.85

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Solution

The fourth proportional to 660.06, 990.12 and 197.85 is: 296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.06 : 990.12 = 197.85 : x
  2. Step 2: Convert to fraction form
    660.06/990.12 = 197.85/x
  3. Step 3: Cross multiply
    660.06x = 990.12 × 197.85
  4. Step 4: Simplify right side
    660.06x = 195,895.24
  5. Step 5: Solve for x
    x = 195,895.24/660.06
  6. Step 6: Final answer
    x = 296.78

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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.