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Finding the Fourth Proportional to 206.03, 282.49 and 195.59

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Solution

The fourth proportional to 206.03, 282.49 and 195.59 is: 268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.03 : 282.49 = 195.59 : x
  2. Step 2: Convert to fraction form
    206.03/282.49 = 195.59/x
  3. Step 3: Cross multiply
    206.03x = 282.49 × 195.59
  4. Step 4: Simplify right side
    206.03x = 55,252.22
  5. Step 5: Solve for x
    x = 55,252.22/206.03
  6. Step 6: Final answer
    x = 268.18

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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.