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Finding the Fourth Proportional to 279.95, 417.83 and 271.44

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Solution

The fourth proportional to 279.95, 417.83 and 271.44 is: 405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.95 : 417.83 = 271.44 : x
  2. Step 2: Convert to fraction form
    279.95/417.83 = 271.44/x
  3. Step 3: Cross multiply
    279.95x = 417.83 × 271.44
  4. Step 4: Simplify right side
    279.95x = 113,414.42
  5. Step 5: Solve for x
    x = 113,414.42/279.95
  6. Step 6: Final answer
    x = 405.13

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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.