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Finding the Fourth Proportional to 205.20, 306.49 and 176.39

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Solution

The fourth proportional to 205.20, 306.49 and 176.39 is: 263.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.20 : 306.49 = 176.39 : x
  2. Step 2: Convert to fraction form
    205.20/306.49 = 176.39/x
  3. Step 3: Cross multiply
    205.20x = 306.49 × 176.39
  4. Step 4: Simplify right side
    205.20x = 54,063.50
  5. Step 5: Solve for x
    x = 54,063.50/205.20
  6. Step 6: Final answer
    x = 263.47

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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.