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Finding the Fourth Proportional to 442.26, 663.42 and 223.08

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Solution

The fourth proportional to 442.26, 663.42 and 223.08 is: 334.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.26 : 663.42 = 223.08 : x
  2. Step 2: Convert to fraction form
    442.26/663.42 = 223.08/x
  3. Step 3: Cross multiply
    442.26x = 663.42 × 223.08
  4. Step 4: Simplify right side
    442.26x = 147,995.73
  5. Step 5: Solve for x
    x = 147,995.73/442.26
  6. Step 6: Final answer
    x = 334.64

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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.