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Finding the Fourth Proportional to 266.97, 366.87 and 220.26

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Solution

The fourth proportional to 266.97, 366.87 and 220.26 is: 302.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.97 : 366.87 = 220.26 : x
  2. Step 2: Convert to fraction form
    266.97/366.87 = 220.26/x
  3. Step 3: Cross multiply
    266.97x = 366.87 × 220.26
  4. Step 4: Simplify right side
    266.97x = 80,806.79
  5. Step 5: Solve for x
    x = 80,806.79/266.97
  6. Step 6: Final answer
    x = 302.68

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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.