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Finding the Fourth Proportional to 205.78, 308.27 and 102.91

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Solution

The fourth proportional to 205.78, 308.27 and 102.91 is: 154.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.78 : 308.27 = 102.91 : x
  2. Step 2: Convert to fraction form
    205.78/308.27 = 102.91/x
  3. Step 3: Cross multiply
    205.78x = 308.27 × 102.91
  4. Step 4: Simplify right side
    205.78x = 31,724.07
  5. Step 5: Solve for x
    x = 31,724.07/205.78
  6. Step 6: Final answer
    x = 154.16

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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.