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Finding the Fourth Proportional to 205.63, 308.46 and 83.89

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Solution

The fourth proportional to 205.63, 308.46 and 83.89 is: 125.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.63 : 308.46 = 83.89 : x
  2. Step 2: Convert to fraction form
    205.63/308.46 = 83.89/x
  3. Step 3: Cross multiply
    205.63x = 308.46 × 83.89
  4. Step 4: Simplify right side
    205.63x = 25,877.41
  5. Step 5: Solve for x
    x = 25,877.41/205.63
  6. Step 6: Final answer
    x = 125.85

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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.