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Finding the Fourth Proportional to 279.14, 415.88 and 271.77

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Solution

The fourth proportional to 279.14, 415.88 and 271.77 is: 404.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.14 : 415.88 = 271.77 : x
  2. Step 2: Convert to fraction form
    279.14/415.88 = 271.77/x
  3. Step 3: Cross multiply
    279.14x = 415.88 × 271.77
  4. Step 4: Simplify right side
    279.14x = 113,022.35
  5. Step 5: Solve for x
    x = 113,022.35/279.14
  6. Step 6: Final answer
    x = 404.90

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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.