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Finding the Fourth Proportional to 381.96, 573 and 138.45

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Solution

The fourth proportional to 381.96, 573 and 138.45 is: 207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.96 : 573 = 138.45 : x
  2. Step 2: Convert to fraction form
    381.96/573 = 138.45/x
  3. Step 3: Cross multiply
    381.96x = 573 × 138.45
  4. Step 4: Simplify right side
    381.96x = 79,331.85
  5. Step 5: Solve for x
    x = 79,331.85/381.96
  6. Step 6: Final answer
    x = 207.70

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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.