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Finding the Fourth Proportional to 205.71, 306.90 and 171.69

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Solution

The fourth proportional to 205.71, 306.90 and 171.69 is: 256.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.71 : 306.90 = 171.69 : x
  2. Step 2: Convert to fraction form
    205.71/306.90 = 171.69/x
  3. Step 3: Cross multiply
    205.71x = 306.90 × 171.69
  4. Step 4: Simplify right side
    205.71x = 52,691.66
  5. Step 5: Solve for x
    x = 52,691.66/205.71
  6. Step 6: Final answer
    x = 256.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.