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Finding the Fourth Proportional to 389.75, 584.74 and 126.20

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Solution

The fourth proportional to 389.75, 584.74 and 126.20 is: 189.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.75 : 584.74 = 126.20 : x
  2. Step 2: Convert to fraction form
    389.75/584.74 = 126.20/x
  3. Step 3: Cross multiply
    389.75x = 584.74 × 126.20
  4. Step 4: Simplify right side
    389.75x = 73,791.42
  5. Step 5: Solve for x
    x = 73,791.42/389.75
  6. Step 6: Final answer
    x = 189.33

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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.