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Finding the Fourth Proportional to 268.80, 404.64 and 204.96

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Solution

The fourth proportional to 268.80, 404.64 and 204.96 is: 308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.80 : 404.64 = 204.96 : x
  2. Step 2: Convert to fraction form
    268.80/404.64 = 204.96/x
  3. Step 3: Cross multiply
    268.80x = 404.64 × 204.96
  4. Step 4: Simplify right side
    268.80x = 82,935.01
  5. Step 5: Solve for x
    x = 82,935.01/268.80
  6. Step 6: Final answer
    x = 308.54

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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.