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Finding the Fourth Proportional to 381.55, 571.72 and 289.97

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Solution

The fourth proportional to 381.55, 571.72 and 289.97 is: 434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.55 : 571.72 = 289.97 : x
  2. Step 2: Convert to fraction form
    381.55/571.72 = 289.97/x
  3. Step 3: Cross multiply
    381.55x = 571.72 × 289.97
  4. Step 4: Simplify right side
    381.55x = 165,778.06
  5. Step 5: Solve for x
    x = 165,778.06/381.55
  6. Step 6: Final answer
    x = 434.49

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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.