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Finding the Fourth Proportional to 418.64, 627.96 and 226.64

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Solution

The fourth proportional to 418.64, 627.96 and 226.64 is: 339.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.64 : 627.96 = 226.64 : x
  2. Step 2: Convert to fraction form
    418.64/627.96 = 226.64/x
  3. Step 3: Cross multiply
    418.64x = 627.96 × 226.64
  4. Step 4: Simplify right side
    418.64x = 142,320.85
  5. Step 5: Solve for x
    x = 142,320.85/418.64
  6. Step 6: Final answer
    x = 339.96

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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.