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Finding the Fourth Proportional to 266.97, 368.24 and 204.69

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Solution

The fourth proportional to 266.97, 368.24 and 204.69 is: 282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.97 : 368.24 = 204.69 : x
  2. Step 2: Convert to fraction form
    266.97/368.24 = 204.69/x
  3. Step 3: Cross multiply
    266.97x = 368.24 × 204.69
  4. Step 4: Simplify right side
    266.97x = 75,375.05
  5. Step 5: Solve for x
    x = 75,375.05/266.97
  6. Step 6: Final answer
    x = 282.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.