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Finding the Fourth Proportional to 381.95, 573.41 and 380.20

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Solution

The fourth proportional to 381.95, 573.41 and 380.20 is: 570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.95 : 573.41 = 380.20 : x
  2. Step 2: Convert to fraction form
    381.95/573.41 = 380.20/x
  3. Step 3: Cross multiply
    381.95x = 573.41 × 380.20
  4. Step 4: Simplify right side
    381.95x = 218,007.15
  5. Step 5: Solve for x
    x = 218,007.15/381.95
  6. Step 6: Final answer
    x = 570.77

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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.