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Finding the Fourth Proportional to 205.60, 306.29 and 199.96

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Solution

The fourth proportional to 205.60, 306.29 and 199.96 is: 297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.60 : 306.29 = 199.96 : x
  2. Step 2: Convert to fraction form
    205.60/306.29 = 199.96/x
  3. Step 3: Cross multiply
    205.60x = 306.29 × 199.96
  4. Step 4: Simplify right side
    205.60x = 61,245.75
  5. Step 5: Solve for x
    x = 61,245.75/205.60
  6. Step 6: Final answer
    x = 297.89

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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.