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Finding the Fourth Proportional to 737.29, 1,105.92 and 189.49

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Solution

The fourth proportional to 737.29, 1,105.92 and 189.49 is: 284.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.29 : 1,105.92 = 189.49 : x
  2. Step 2: Convert to fraction form
    737.29/1,105.92 = 189.49/x
  3. Step 3: Cross multiply
    737.29x = 1,105.92 × 189.49
  4. Step 4: Simplify right side
    737.29x = 209,560.78
  5. Step 5: Solve for x
    x = 209,560.78/737.29
  6. Step 6: Final answer
    x = 284.23

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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.