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Finding the Fourth Proportional to 442.76, 664.73 and 226.49

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Solution

The fourth proportional to 442.76, 664.73 and 226.49 is: 340.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.76 : 664.73 = 226.49 : x
  2. Step 2: Convert to fraction form
    442.76/664.73 = 226.49/x
  3. Step 3: Cross multiply
    442.76x = 664.73 × 226.49
  4. Step 4: Simplify right side
    442.76x = 150,550.24
  5. Step 5: Solve for x
    x = 150,550.24/442.76
  6. Step 6: Final answer
    x = 340.03

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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.