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Finding the Fourth Proportional to 322.50, 444.90 and 198.09

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Solution

The fourth proportional to 322.50, 444.90 and 198.09 is: 273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.50 : 444.90 = 198.09 : x
  2. Step 2: Convert to fraction form
    322.50/444.90 = 198.09/x
  3. Step 3: Cross multiply
    322.50x = 444.90 × 198.09
  4. Step 4: Simplify right side
    322.50x = 88,130.24
  5. Step 5: Solve for x
    x = 88,130.24/322.50
  6. Step 6: Final answer
    x = 273.27

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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.