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Finding the Fourth Proportional to 442.53, 662.57 and 225.04

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Solution

The fourth proportional to 442.53, 662.57 and 225.04 is: 336.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.53 : 662.57 = 225.04 : x
  2. Step 2: Convert to fraction form
    442.53/662.57 = 225.04/x
  3. Step 3: Cross multiply
    442.53x = 662.57 × 225.04
  4. Step 4: Simplify right side
    442.53x = 149,104.75
  5. Step 5: Solve for x
    x = 149,104.75/442.53
  6. Step 6: Final answer
    x = 336.94

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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.