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Finding the Fourth Proportional to 920.52, 1,380.75 and 227.19

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Solution

The fourth proportional to 920.52, 1,380.75 and 227.19 is: 340.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.52 : 1,380.75 = 227.19 : x
  2. Step 2: Convert to fraction form
    920.52/1,380.75 = 227.19/x
  3. Step 3: Cross multiply
    920.52x = 1,380.75 × 227.19
  4. Step 4: Simplify right side
    920.52x = 313,692.59
  5. Step 5: Solve for x
    x = 313,692.59/920.52
  6. Step 6: Final answer
    x = 340.78

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Double scale
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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.