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Finding the Fourth Proportional to 493.09, 739.04 and 229.18

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Solution

The fourth proportional to 493.09, 739.04 and 229.18 is: 343.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.09 : 739.04 = 229.18 : x
  2. Step 2: Convert to fraction form
    493.09/739.04 = 229.18/x
  3. Step 3: Cross multiply
    493.09x = 739.04 × 229.18
  4. Step 4: Simplify right side
    493.09x = 169,377.64
  5. Step 5: Solve for x
    x = 169,377.64/493.09
  6. Step 6: Final answer
    x = 343.50

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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.