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Finding the Fourth Proportional to 769.33, 1,153.73 and 221.37

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Solution

The fourth proportional to 769.33, 1,153.73 and 221.37 is: 331.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.33 : 1,153.73 = 221.37 : x
  2. Step 2: Convert to fraction form
    769.33/1,153.73 = 221.37/x
  3. Step 3: Cross multiply
    769.33x = 1,153.73 × 221.37
  4. Step 4: Simplify right side
    769.33x = 255,396.19
  5. Step 5: Solve for x
    x = 255,396.19/769.33
  6. Step 6: Final answer
    x = 331.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.