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Finding the Fourth Proportional to 225.72, 309.56 and 209.52

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Solution

The fourth proportional to 225.72, 309.56 and 209.52 is: 287.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.72 : 309.56 = 209.52 : x
  2. Step 2: Convert to fraction form
    225.72/309.56 = 209.52/x
  3. Step 3: Cross multiply
    225.72x = 309.56 × 209.52
  4. Step 4: Simplify right side
    225.72x = 64,857.96
  5. Step 5: Solve for x
    x = 64,857.96/225.72
  6. Step 6: Final answer
    x = 287.34

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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.