Home / 920.23-1,380.34-226.90

Finding the Fourth Proportional to 920.23, 1,380.34 and 226.90

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Solution

The fourth proportional to 920.23, 1,380.34 and 226.90 is: 340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.23 : 1,380.34 = 226.90 : x
  2. Step 2: Convert to fraction form
    920.23/1,380.34 = 226.90/x
  3. Step 3: Cross multiply
    920.23x = 1,380.34 × 226.90
  4. Step 4: Simplify right side
    920.23x = 313,192.24
  5. Step 5: Solve for x
    x = 313,192.24/920.23
  6. Step 6: Final answer
    x = 340.34

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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.