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Finding the Fourth Proportional to 266.80, 367.85 and 224.68

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Solution

The fourth proportional to 266.80, 367.85 and 224.68 is: 309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.80 : 367.85 = 224.68 : x
  2. Step 2: Convert to fraction form
    266.80/367.85 = 224.68/x
  3. Step 3: Cross multiply
    266.80x = 367.85 × 224.68
  4. Step 4: Simplify right side
    266.80x = 82,645.58
  5. Step 5: Solve for x
    x = 82,645.58/266.80
  6. Step 6: Final answer
    x = 309.77

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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.