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Finding the Fourth Proportional to 418.94, 627.98 and 272.78

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Solution

The fourth proportional to 418.94, 627.98 and 272.78 is: 408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.94 : 627.98 = 272.78 : x
  2. Step 2: Convert to fraction form
    418.94/627.98 = 272.78/x
  3. Step 3: Cross multiply
    418.94x = 627.98 × 272.78
  4. Step 4: Simplify right side
    418.94x = 171,300.38
  5. Step 5: Solve for x
    x = 171,300.38/418.94
  6. Step 6: Final answer
    x = 408.89

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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.