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Finding the Fourth Proportional to 205.59, 306.24 and 196.23

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Solution

The fourth proportional to 205.59, 306.24 and 196.23 is: 292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.59 : 306.24 = 196.23 : x
  2. Step 2: Convert to fraction form
    205.59/306.24 = 196.23/x
  3. Step 3: Cross multiply
    205.59x = 306.24 × 196.23
  4. Step 4: Simplify right side
    205.59x = 60,093.48
  5. Step 5: Solve for x
    x = 60,093.48/205.59
  6. Step 6: Final answer
    x = 292.30

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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.