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Finding the Fourth Proportional to 205.53, 305.84 and 204.85

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Solution

The fourth proportional to 205.53, 305.84 and 204.85 is: 304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.53 : 305.84 = 204.85 : x
  2. Step 2: Convert to fraction form
    205.53/305.84 = 204.85/x
  3. Step 3: Cross multiply
    205.53x = 305.84 × 204.85
  4. Step 4: Simplify right side
    205.53x = 62,651.32
  5. Step 5: Solve for x
    x = 62,651.32/205.53
  6. Step 6: Final answer
    x = 304.83

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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.