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Finding the Fourth Proportional to 205.03, 280.21 and 195.46

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Solution

The fourth proportional to 205.03, 280.21 and 195.46 is: 267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.03 : 280.21 = 195.46 : x
  2. Step 2: Convert to fraction form
    205.03/280.21 = 195.46/x
  3. Step 3: Cross multiply
    205.03x = 280.21 × 195.46
  4. Step 4: Simplify right side
    205.03x = 54,770.60
  5. Step 5: Solve for x
    x = 54,770.60/205.03
  6. Step 6: Final answer
    x = 267.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.