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Finding the Fourth Proportional to 493.38, 739.68 and 233.54

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Solution

The fourth proportional to 493.38, 739.68 and 233.54 is: 350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.38 : 739.68 = 233.54 : x
  2. Step 2: Convert to fraction form
    493.38/739.68 = 233.54/x
  3. Step 3: Cross multiply
    493.38x = 739.68 × 233.54
  4. Step 4: Simplify right side
    493.38x = 172,744.87
  5. Step 5: Solve for x
    x = 172,744.87/493.38
  6. Step 6: Final answer
    x = 350.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.