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Finding the Fourth Proportional to 205.26, 305.42 and 204.57

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Solution

The fourth proportional to 205.26, 305.42 and 204.57 is: 304.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.26 : 305.42 = 204.57 : x
  2. Step 2: Convert to fraction form
    205.26/305.42 = 204.57/x
  3. Step 3: Cross multiply
    205.26x = 305.42 × 204.57
  4. Step 4: Simplify right side
    205.26x = 62,478.75
  5. Step 5: Solve for x
    x = 62,478.75/205.26
  6. Step 6: Final answer
    x = 304.39

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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.