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Finding the Fourth Proportional to 234.92, 324.19 and 130.02

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Solution

The fourth proportional to 234.92, 324.19 and 130.02 is: 179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.92 : 324.19 = 130.02 : x
  2. Step 2: Convert to fraction form
    234.92/324.19 = 130.02/x
  3. Step 3: Cross multiply
    234.92x = 324.19 × 130.02
  4. Step 4: Simplify right side
    234.92x = 42,148.91
  5. Step 5: Solve for x
    x = 42,148.91/234.92
  6. Step 6: Final answer
    x = 179.42

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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.