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Finding the Fourth Proportional to 225.54, 309.40 and 211.56

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Solution

The fourth proportional to 225.54, 309.40 and 211.56 is: 290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.54 : 309.40 = 211.56 : x
  2. Step 2: Convert to fraction form
    225.54/309.40 = 211.56/x
  3. Step 3: Cross multiply
    225.54x = 309.40 × 211.56
  4. Step 4: Simplify right side
    225.54x = 65,456.66
  5. Step 5: Solve for x
    x = 65,456.66/225.54
  6. Step 6: Final answer
    x = 290.22

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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.