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Finding the Fourth Proportional to 205.64, 306.61 and 199.72

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Solution

The fourth proportional to 205.64, 306.61 and 199.72 is: 297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.64 : 306.61 = 199.72 : x
  2. Step 2: Convert to fraction form
    205.64/306.61 = 199.72/x
  3. Step 3: Cross multiply
    205.64x = 306.61 × 199.72
  4. Step 4: Simplify right side
    205.64x = 61,236.15
  5. Step 5: Solve for x
    x = 61,236.15/205.64
  6. Step 6: Final answer
    x = 297.78

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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.