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Finding the Fourth Proportional to 234.81, 323.99 and 135.21

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Solution

The fourth proportional to 234.81, 323.99 and 135.21 is: 186.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.81 : 323.99 = 135.21 : x
  2. Step 2: Convert to fraction form
    234.81/323.99 = 135.21/x
  3. Step 3: Cross multiply
    234.81x = 323.99 × 135.21
  4. Step 4: Simplify right side
    234.81x = 43,806.01
  5. Step 5: Solve for x
    x = 43,806.01/234.81
  6. Step 6: Final answer
    x = 186.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.