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Finding the Fourth Proportional to 205.73, 306.35 and 195.23

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Solution

The fourth proportional to 205.73, 306.35 and 195.23 is: 290.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.73 : 306.35 = 195.23 : x
  2. Step 2: Convert to fraction form
    205.73/306.35 = 195.23/x
  3. Step 3: Cross multiply
    205.73x = 306.35 × 195.23
  4. Step 4: Simplify right side
    205.73x = 59,808.71
  5. Step 5: Solve for x
    x = 59,808.71/205.73
  6. Step 6: Final answer
    x = 290.71

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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.