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Finding the Fourth Proportional to 769.18, 1,153.78 and 221.38

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Solution

The fourth proportional to 769.18, 1,153.78 and 221.38 is: 332.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.18 : 1,153.78 = 221.38 : x
  2. Step 2: Convert to fraction form
    769.18/1,153.78 = 221.38/x
  3. Step 3: Cross multiply
    769.18x = 1,153.78 × 221.38
  4. Step 4: Simplify right side
    769.18x = 255,423.82
  5. Step 5: Solve for x
    x = 255,423.82/769.18
  6. Step 6: Final answer
    x = 332.07

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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.