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Finding the Fourth Proportional to 204.51, 306.79 and 82.78

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Solution

The fourth proportional to 204.51, 306.79 and 82.78 is: 124.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.51 : 306.79 = 82.78 : x
  2. Step 2: Convert to fraction form
    204.51/306.79 = 82.78/x
  3. Step 3: Cross multiply
    204.51x = 306.79 × 82.78
  4. Step 4: Simplify right side
    204.51x = 25,397.26
  5. Step 5: Solve for x
    x = 25,397.26/204.51
  6. Step 6: Final answer
    x = 124.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.