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Finding the Fourth Proportional to 205.98, 306.25 and 203.92

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Solution

The fourth proportional to 205.98, 306.25 and 203.92 is: 303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.98 : 306.25 = 203.92 : x
  2. Step 2: Convert to fraction form
    205.98/306.25 = 203.92/x
  3. Step 3: Cross multiply
    205.98x = 306.25 × 203.92
  4. Step 4: Simplify right side
    205.98x = 62,449.22
  5. Step 5: Solve for x
    x = 62,449.22/205.98
  6. Step 6: Final answer
    x = 303.19

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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.