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Finding the Fourth Proportional to 379.19, 523.23 and 231.80

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Solution

The fourth proportional to 379.19, 523.23 and 231.80 is: 319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.19 : 523.23 = 231.80 : x
  2. Step 2: Convert to fraction form
    379.19/523.23 = 231.80/x
  3. Step 3: Cross multiply
    379.19x = 523.23 × 231.80
  4. Step 4: Simplify right side
    379.19x = 121,284.71
  5. Step 5: Solve for x
    x = 121,284.71/379.19
  6. Step 6: Final answer
    x = 319.85

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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.