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Finding the Fourth Proportional to 769.38, 1,154.09 and 192.25

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Solution

The fourth proportional to 769.38, 1,154.09 and 192.25 is: 288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.38 : 1,154.09 = 192.25 : x
  2. Step 2: Convert to fraction form
    769.38/1,154.09 = 192.25/x
  3. Step 3: Cross multiply
    769.38x = 1,154.09 × 192.25
  4. Step 4: Simplify right side
    769.38x = 221,873.80
  5. Step 5: Solve for x
    x = 221,873.80/769.38
  6. Step 6: Final answer
    x = 288.38

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1.5x scale

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.