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Finding the Fourth Proportional to 268.72, 404.74 and 205.04

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Solution

The fourth proportional to 268.72, 404.74 and 205.04 is: 308.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.72 : 404.74 = 205.04 : x
  2. Step 2: Convert to fraction form
    268.72/404.74 = 205.04/x
  3. Step 3: Cross multiply
    268.72x = 404.74 × 205.04
  4. Step 4: Simplify right side
    268.72x = 82,987.89
  5. Step 5: Solve for x
    x = 82,987.89/268.72
  6. Step 6: Final answer
    x = 308.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.