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Finding the Fourth Proportional to 381.56, 571.93 and 300.20

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Solution

The fourth proportional to 381.56, 571.93 and 300.20 is: 449.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.56 : 571.93 = 300.20 : x
  2. Step 2: Convert to fraction form
    381.56/571.93 = 300.20/x
  3. Step 3: Cross multiply
    381.56x = 571.93 × 300.20
  4. Step 4: Simplify right side
    381.56x = 171,689.78
  5. Step 5: Solve for x
    x = 171,689.78/381.56
  6. Step 6: Final answer
    x = 449.97

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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.