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Finding the Fourth Proportional to 379.07, 522.54 and 231.59

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Solution

The fourth proportional to 379.07, 522.54 and 231.59 is: 319.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.07 : 522.54 = 231.59 : x
  2. Step 2: Convert to fraction form
    379.07/522.54 = 231.59/x
  3. Step 3: Cross multiply
    379.07x = 522.54 × 231.59
  4. Step 4: Simplify right side
    379.07x = 121,012.43
  5. Step 5: Solve for x
    x = 121,012.43/379.07
  6. Step 6: Final answer
    x = 319.24

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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.