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Finding the Fourth Proportional to 418.21, 627.68 and 223.37

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Solution

The fourth proportional to 418.21, 627.68 and 223.37 is: 335.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.21 : 627.68 = 223.37 : x
  2. Step 2: Convert to fraction form
    418.21/627.68 = 223.37/x
  3. Step 3: Cross multiply
    418.21x = 627.68 × 223.37
  4. Step 4: Simplify right side
    418.21x = 140,204.88
  5. Step 5: Solve for x
    x = 140,204.88/418.21
  6. Step 6: Final answer
    x = 335.25

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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.