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Finding the Fourth Proportional to 205.82, 310.24 and 194.06

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Solution

The fourth proportional to 205.82, 310.24 and 194.06 is: 292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.82 : 310.24 = 194.06 : x
  2. Step 2: Convert to fraction form
    205.82/310.24 = 194.06/x
  3. Step 3: Cross multiply
    205.82x = 310.24 × 194.06
  4. Step 4: Simplify right side
    205.82x = 60,204.20
  5. Step 5: Solve for x
    x = 60,204.20/205.82
  6. Step 6: Final answer
    x = 292.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.