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Finding the Fourth Proportional to 660.70, 990.74 and 198.32

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Solution

The fourth proportional to 660.70, 990.74 and 198.32 is: 297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.70 : 990.74 = 198.32 : x
  2. Step 2: Convert to fraction form
    660.70/990.74 = 198.32/x
  3. Step 3: Cross multiply
    660.70x = 990.74 × 198.32
  4. Step 4: Simplify right side
    660.70x = 196,479.10
  5. Step 5: Solve for x
    x = 196,479.10/660.70
  6. Step 6: Final answer
    x = 297.38

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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.