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Finding the Fourth Proportional to 225.87, 339.09 and 162.15

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Solution

The fourth proportional to 225.87, 339.09 and 162.15 is: 243.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.87 : 339.09 = 162.15 : x
  2. Step 2: Convert to fraction form
    225.87/339.09 = 162.15/x
  3. Step 3: Cross multiply
    225.87x = 339.09 × 162.15
  4. Step 4: Simplify right side
    225.87x = 54,983.44
  5. Step 5: Solve for x
    x = 54,983.44/225.87
  6. Step 6: Final answer
    x = 243.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.