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Finding the Fourth Proportional to 225.45, 313.20 and 223.20

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Solution

The fourth proportional to 225.45, 313.20 and 223.20 is: 310.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.45 : 313.20 = 223.20 : x
  2. Step 2: Convert to fraction form
    225.45/313.20 = 223.20/x
  3. Step 3: Cross multiply
    225.45x = 313.20 × 223.20
  4. Step 4: Simplify right side
    225.45x = 69,906.24
  5. Step 5: Solve for x
    x = 69,906.24/225.45
  6. Step 6: Final answer
    x = 310.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.