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Finding the Fourth Proportional to 234.70, 324.24 and 177.22

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Solution

The fourth proportional to 234.70, 324.24 and 177.22 is: 244.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.70 : 324.24 = 177.22 : x
  2. Step 2: Convert to fraction form
    234.70/324.24 = 177.22/x
  3. Step 3: Cross multiply
    234.70x = 324.24 × 177.22
  4. Step 4: Simplify right side
    234.70x = 57,461.81
  5. Step 5: Solve for x
    x = 57,461.81/234.70
  6. Step 6: Final answer
    x = 244.83

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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.