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Finding the Fourth Proportional to 442.12, 662.91 and 225.85

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Solution

The fourth proportional to 442.12, 662.91 and 225.85 is: 338.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.12 : 662.91 = 225.85 : x
  2. Step 2: Convert to fraction form
    442.12/662.91 = 225.85/x
  3. Step 3: Cross multiply
    442.12x = 662.91 × 225.85
  4. Step 4: Simplify right side
    442.12x = 149,718.22
  5. Step 5: Solve for x
    x = 149,718.22/442.12
  6. Step 6: Final answer
    x = 338.64

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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.