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Finding the Fourth Proportional to 442.20, 662.58 and 198.36

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Solution

The fourth proportional to 442.20, 662.58 and 198.36 is: 297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.20 : 662.58 = 198.36 : x
  2. Step 2: Convert to fraction form
    442.20/662.58 = 198.36/x
  3. Step 3: Cross multiply
    442.20x = 662.58 × 198.36
  4. Step 4: Simplify right side
    442.20x = 131,429.37
  5. Step 5: Solve for x
    x = 131,429.37/442.20
  6. Step 6: Final answer
    x = 297.22

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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.