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Finding the Fourth Proportional to 234.96, 324.29 and 161.45

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Solution

The fourth proportional to 234.96, 324.29 and 161.45 is: 222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.96 : 324.29 = 161.45 : x
  2. Step 2: Convert to fraction form
    234.96/324.29 = 161.45/x
  3. Step 3: Cross multiply
    234.96x = 324.29 × 161.45
  4. Step 4: Simplify right side
    234.96x = 52,354.19
  5. Step 5: Solve for x
    x = 52,354.19/234.96
  6. Step 6: Final answer
    x = 222.82

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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.