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Finding the Fourth Proportional to 225.22, 335.81 and 204.70

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Solution

The fourth proportional to 225.22, 335.81 and 204.70 is: 305.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.22 : 335.81 = 204.70 : x
  2. Step 2: Convert to fraction form
    225.22/335.81 = 204.70/x
  3. Step 3: Cross multiply
    225.22x = 335.81 × 204.70
  4. Step 4: Simplify right side
    225.22x = 68,740.31
  5. Step 5: Solve for x
    x = 68,740.31/225.22
  6. Step 6: Final answer
    x = 305.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.