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Finding the Fourth Proportional to 323.09, 445.80 and 198.70

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Solution

The fourth proportional to 323.09, 445.80 and 198.70 is: 274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.09 : 445.80 = 198.70 : x
  2. Step 2: Convert to fraction form
    323.09/445.80 = 198.70/x
  3. Step 3: Cross multiply
    323.09x = 445.80 × 198.70
  4. Step 4: Simplify right side
    323.09x = 88,582.60
  5. Step 5: Solve for x
    x = 88,582.60/323.09
  6. Step 6: Final answer
    x = 274.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.