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Finding the Fourth Proportional to 769.38, 1,153.83 and 221.42

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Solution

The fourth proportional to 769.38, 1,153.83 and 221.42 is: 332.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.38 : 1,153.83 = 221.42 : x
  2. Step 2: Convert to fraction form
    769.38/1,153.83 = 221.42/x
  3. Step 3: Cross multiply
    769.38x = 1,153.83 × 221.42
  4. Step 4: Simplify right side
    769.38x = 255,476.10
  5. Step 5: Solve for x
    x = 255,476.10/769.38
  6. Step 6: Final answer
    x = 332.05

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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.