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Finding the Fourth Proportional to 279.72, 416.84 and 271.38

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Solution

The fourth proportional to 279.72, 416.84 and 271.38 is: 404.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.72 : 416.84 = 271.38 : x
  2. Step 2: Convert to fraction form
    279.72/416.84 = 271.38/x
  3. Step 3: Cross multiply
    279.72x = 416.84 × 271.38
  4. Step 4: Simplify right side
    279.72x = 113,122.04
  5. Step 5: Solve for x
    x = 113,122.04/279.72
  6. Step 6: Final answer
    x = 404.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.