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Finding the Fourth Proportional to 418.20, 627.32 and 273.84

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Solution

The fourth proportional to 418.20, 627.32 and 273.84 is: 410.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.20 : 627.32 = 273.84 : x
  2. Step 2: Convert to fraction form
    418.20/627.32 = 273.84/x
  3. Step 3: Cross multiply
    418.20x = 627.32 × 273.84
  4. Step 4: Simplify right side
    418.20x = 171,785.31
  5. Step 5: Solve for x
    x = 171,785.31/418.20
  6. Step 6: Final answer
    x = 410.77

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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.