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Finding the Fourth Proportional to 737.20, 1,105.86 and 189.38

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Solution

The fourth proportional to 737.20, 1,105.86 and 189.38 is: 284.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.20 : 1,105.86 = 189.38 : x
  2. Step 2: Convert to fraction form
    737.20/1,105.86 = 189.38/x
  3. Step 3: Cross multiply
    737.20x = 1,105.86 × 189.38
  4. Step 4: Simplify right side
    737.20x = 209,427.77
  5. Step 5: Solve for x
    x = 209,427.77/737.20
  6. Step 6: Final answer
    x = 284.09

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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.