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Finding the Fourth Proportional to 442.03, 663.05 and 198.27

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Solution

The fourth proportional to 442.03, 663.05 and 198.27 is: 297.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.03 : 663.05 = 198.27 : x
  2. Step 2: Convert to fraction form
    442.03/663.05 = 198.27/x
  3. Step 3: Cross multiply
    442.03x = 663.05 × 198.27
  4. Step 4: Simplify right side
    442.03x = 131,464.45
  5. Step 5: Solve for x
    x = 131,464.45/442.03
  6. Step 6: Final answer
    x = 297.41

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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.