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Finding the Fourth Proportional to 205.47, 308.14 and 132.42

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Solution

The fourth proportional to 205.47, 308.14 and 132.42 is: 198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.47 : 308.14 = 132.42 : x
  2. Step 2: Convert to fraction form
    205.47/308.14 = 132.42/x
  3. Step 3: Cross multiply
    205.47x = 308.14 × 132.42
  4. Step 4: Simplify right side
    205.47x = 40,804.72
  5. Step 5: Solve for x
    x = 40,804.72/205.47
  6. Step 6: Final answer
    x = 198.59

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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.