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Finding the Fourth Proportional to 238.24, 326.72 and 225.76

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Solution

The fourth proportional to 238.24, 326.72 and 225.76 is: 309.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.24 : 326.72 = 225.76 : x
  2. Step 2: Convert to fraction form
    238.24/326.72 = 225.76/x
  3. Step 3: Cross multiply
    238.24x = 326.72 × 225.76
  4. Step 4: Simplify right side
    238.24x = 73,760.31
  5. Step 5: Solve for x
    x = 73,760.31/238.24
  6. Step 6: Final answer
    x = 309.61

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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.