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Finding the Fourth Proportional to 379.21, 523.21 and 239.49

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Solution

The fourth proportional to 379.21, 523.21 and 239.49 is: 330.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.21 : 523.21 = 239.49 : x
  2. Step 2: Convert to fraction form
    379.21/523.21 = 239.49/x
  3. Step 3: Cross multiply
    379.21x = 523.21 × 239.49
  4. Step 4: Simplify right side
    379.21x = 125,303.45
  5. Step 5: Solve for x
    x = 125,303.45/379.21
  6. Step 6: Final answer
    x = 330.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.