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Finding the Fourth Proportional to 920.57, 1,380.80 and 227.21

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Solution

The fourth proportional to 920.57, 1,380.80 and 227.21 is: 340.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.57 : 1,380.80 = 227.21 : x
  2. Step 2: Convert to fraction form
    920.57/1,380.80 = 227.21/x
  3. Step 3: Cross multiply
    920.57x = 1,380.80 × 227.21
  4. Step 4: Simplify right side
    920.57x = 313,725.23
  5. Step 5: Solve for x
    x = 313,725.23/920.57
  6. Step 6: Final answer
    x = 340.80

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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.