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Finding the Fourth Proportional to 205.36, 306.08 and 194.56

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Solution

The fourth proportional to 205.36, 306.08 and 194.56 is: 289.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.36 : 306.08 = 194.56 : x
  2. Step 2: Convert to fraction form
    205.36/306.08 = 194.56/x
  3. Step 3: Cross multiply
    205.36x = 306.08 × 194.56
  4. Step 4: Simplify right side
    205.36x = 59,550.92
  5. Step 5: Solve for x
    x = 59,550.92/205.36
  6. Step 6: Final answer
    x = 289.98

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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.