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Finding the Fourth Proportional to 275.11, 411.12 and 205.85

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Solution

The fourth proportional to 275.11, 411.12 and 205.85 is: 307.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.11 : 411.12 = 205.85 : x
  2. Step 2: Convert to fraction form
    275.11/411.12 = 205.85/x
  3. Step 3: Cross multiply
    275.11x = 411.12 × 205.85
  4. Step 4: Simplify right side
    275.11x = 84,630.08
  5. Step 5: Solve for x
    x = 84,630.08/275.11
  6. Step 6: Final answer
    x = 307.63

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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.