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Finding the Fourth Proportional to 234.92, 325.67 and 225.80

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Solution

The fourth proportional to 234.92, 325.67 and 225.80 is: 313.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.92 : 325.67 = 225.80 : x
  2. Step 2: Convert to fraction form
    234.92/325.67 = 225.80/x
  3. Step 3: Cross multiply
    234.92x = 325.67 × 225.80
  4. Step 4: Simplify right side
    234.92x = 73,536.29
  5. Step 5: Solve for x
    x = 73,536.29/234.92
  6. Step 6: Final answer
    x = 313.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.