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Finding the Fourth Proportional to 418.21, 627.60 and 272.04

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Solution

The fourth proportional to 418.21, 627.60 and 272.04 is: 408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.21 : 627.60 = 272.04 : x
  2. Step 2: Convert to fraction form
    418.21/627.60 = 272.04/x
  3. Step 3: Cross multiply
    418.21x = 627.60 × 272.04
  4. Step 4: Simplify right side
    418.21x = 170,732.30
  5. Step 5: Solve for x
    x = 170,732.30/418.21
  6. Step 6: Final answer
    x = 408.25

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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.