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Finding the Fourth Proportional to 442.44, 663.62 and 226.16

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Solution

The fourth proportional to 442.44, 663.62 and 226.16 is: 339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.44 : 663.62 = 226.16 : x
  2. Step 2: Convert to fraction form
    442.44/663.62 = 226.16/x
  3. Step 3: Cross multiply
    442.44x = 663.62 × 226.16
  4. Step 4: Simplify right side
    442.44x = 150,084.30
  5. Step 5: Solve for x
    x = 150,084.30/442.44
  6. Step 6: Final answer
    x = 339.22

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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.