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Finding the Fourth Proportional to 769.97, 1,155.14 and 222.15

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Solution

The fourth proportional to 769.97, 1,155.14 and 222.15 is: 333.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.97 : 1,155.14 = 222.15 : x
  2. Step 2: Convert to fraction form
    769.97/1,155.14 = 222.15/x
  3. Step 3: Cross multiply
    769.97x = 1,155.14 × 222.15
  4. Step 4: Simplify right side
    769.97x = 256,613.24
  5. Step 5: Solve for x
    x = 256,613.24/769.97
  6. Step 6: Final answer
    x = 333.28

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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.