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Finding the Fourth Proportional to 205.43, 306.79 and 182.75

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Solution

The fourth proportional to 205.43, 306.79 and 182.75 is: 272.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.43 : 306.79 = 182.75 : x
  2. Step 2: Convert to fraction form
    205.43/306.79 = 182.75/x
  3. Step 3: Cross multiply
    205.43x = 306.79 × 182.75
  4. Step 4: Simplify right side
    205.43x = 56,065.87
  5. Step 5: Solve for x
    x = 56,065.87/205.43
  6. Step 6: Final answer
    x = 272.92

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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.