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Finding the Fourth Proportional to 376.03, 563.49 and 193.54

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Solution

The fourth proportional to 376.03, 563.49 and 193.54 is: 290.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.03 : 563.49 = 193.54 : x
  2. Step 2: Convert to fraction form
    376.03/563.49 = 193.54/x
  3. Step 3: Cross multiply
    376.03x = 563.49 × 193.54
  4. Step 4: Simplify right side
    376.03x = 109,057.85
  5. Step 5: Solve for x
    x = 109,057.85/376.03
  6. Step 6: Final answer
    x = 290.02

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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.