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Finding the Fourth Proportional to 381.98, 573.09 and 125.50

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Solution

The fourth proportional to 381.98, 573.09 and 125.50 is: 188.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.98 : 573.09 = 125.50 : x
  2. Step 2: Convert to fraction form
    381.98/573.09 = 125.50/x
  3. Step 3: Cross multiply
    381.98x = 573.09 × 125.50
  4. Step 4: Simplify right side
    381.98x = 71,922.80
  5. Step 5: Solve for x
    x = 71,922.80/381.98
  6. Step 6: Final answer
    x = 188.29

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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.