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Finding the Fourth Proportional to 493.50, 739.38 and 219.09

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Solution

The fourth proportional to 493.50, 739.38 and 219.09 is: 328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.50 : 739.38 = 219.09 : x
  2. Step 2: Convert to fraction form
    493.50/739.38 = 219.09/x
  3. Step 3: Cross multiply
    493.50x = 739.38 × 219.09
  4. Step 4: Simplify right side
    493.50x = 161,990.76
  5. Step 5: Solve for x
    x = 161,990.76/493.50
  6. Step 6: Final answer
    x = 328.25

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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.