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Finding the Fourth Proportional to 814.52, 1,221.78 and 198.23

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Solution

The fourth proportional to 814.52, 1,221.78 and 198.23 is: 297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.52 : 1,221.78 = 198.23 : x
  2. Step 2: Convert to fraction form
    814.52/1,221.78 = 198.23/x
  3. Step 3: Cross multiply
    814.52x = 1,221.78 × 198.23
  4. Step 4: Simplify right side
    814.52x = 242,187.34
  5. Step 5: Solve for x
    x = 242,187.34/814.52
  6. Step 6: Final answer
    x = 297.34

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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.