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Finding the Fourth Proportional to 205.10, 306.12 and 188.82

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Solution

The fourth proportional to 205.10, 306.12 and 188.82 is: 281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.10 : 306.12 = 188.82 : x
  2. Step 2: Convert to fraction form
    205.10/306.12 = 188.82/x
  3. Step 3: Cross multiply
    205.10x = 306.12 × 188.82
  4. Step 4: Simplify right side
    205.10x = 57,801.58
  5. Step 5: Solve for x
    x = 57,801.58/205.10
  6. Step 6: Final answer
    x = 281.83

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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.