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Finding the Fourth Proportional to 205.42, 308.13 and 77.17

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Solution

The fourth proportional to 205.42, 308.13 and 77.17 is: 115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.42 : 308.13 = 77.17 : x
  2. Step 2: Convert to fraction form
    205.42/308.13 = 77.17/x
  3. Step 3: Cross multiply
    205.42x = 308.13 × 77.17
  4. Step 4: Simplify right side
    205.42x = 23,778.39
  5. Step 5: Solve for x
    x = 23,778.39/205.42
  6. Step 6: Final answer
    x = 115.76

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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.