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Finding the Fourth Proportional to 205.40, 306.09 and 193

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Solution

The fourth proportional to 205.40, 306.09 and 193 is: 287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.40 : 306.09 = 193 : x
  2. Step 2: Convert to fraction form
    205.40/306.09 = 193/x
  3. Step 3: Cross multiply
    205.40x = 306.09 × 193
  4. Step 4: Simplify right side
    205.40x = 59,075.37
  5. Step 5: Solve for x
    x = 59,075.37/205.40
  6. Step 6: Final answer
    x = 287.61

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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.