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Finding the Fourth Proportional to 738.38, 1,107.78 and 218.38

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Solution

The fourth proportional to 738.38, 1,107.78 and 218.38 is: 327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.38 : 1,107.78 = 218.38 : x
  2. Step 2: Convert to fraction form
    738.38/1,107.78 = 218.38/x
  3. Step 3: Cross multiply
    738.38x = 1,107.78 × 218.38
  4. Step 4: Simplify right side
    738.38x = 241,913.15
  5. Step 5: Solve for x
    x = 241,913.15/738.38
  6. Step 6: Final answer
    x = 327.63

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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.