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Finding the Fourth Proportional to 205.11, 305.46 and 193.23

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Solution

The fourth proportional to 205.11, 305.46 and 193.23 is: 287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.11 : 305.46 = 193.23 : x
  2. Step 2: Convert to fraction form
    205.11/305.46 = 193.23/x
  3. Step 3: Cross multiply
    205.11x = 305.46 × 193.23
  4. Step 4: Simplify right side
    205.11x = 59,024.04
  5. Step 5: Solve for x
    x = 59,024.04/205.11
  6. Step 6: Final answer
    x = 287.77

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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.