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Finding the Fourth Proportional to 234.83, 324.05 and 176.51

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Solution

The fourth proportional to 234.83, 324.05 and 176.51 is: 243.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.83 : 324.05 = 176.51 : x
  2. Step 2: Convert to fraction form
    234.83/324.05 = 176.51/x
  3. Step 3: Cross multiply
    234.83x = 324.05 × 176.51
  4. Step 4: Simplify right side
    234.83x = 57,195.56
  5. Step 5: Solve for x
    x = 57,195.56/234.83
  6. Step 6: Final answer
    x = 243.57

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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.