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Finding the Fourth Proportional to 225.40, 309.22 and 211.43

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Solution

The fourth proportional to 225.40, 309.22 and 211.43 is: 290.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.40 : 309.22 = 211.43 : x
  2. Step 2: Convert to fraction form
    225.40/309.22 = 211.43/x
  3. Step 3: Cross multiply
    225.40x = 309.22 × 211.43
  4. Step 4: Simplify right side
    225.40x = 65,377.33
  5. Step 5: Solve for x
    x = 65,377.33/225.40
  6. Step 6: Final answer
    x = 290.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.