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Finding the Fourth Proportional to 225.20, 339.02 and 205.04

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Solution

The fourth proportional to 225.20, 339.02 and 205.04 is: 308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.20 : 339.02 = 205.04 : x
  2. Step 2: Convert to fraction form
    225.20/339.02 = 205.04/x
  3. Step 3: Cross multiply
    225.20x = 339.02 × 205.04
  4. Step 4: Simplify right side
    225.20x = 69,512.66
  5. Step 5: Solve for x
    x = 69,512.66/225.20
  6. Step 6: Final answer
    x = 308.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.