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Finding the Fourth Proportional to 379.09, 571.22 and 312.12

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Solution

The fourth proportional to 379.09, 571.22 and 312.12 is: 470.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.09 : 571.22 = 312.12 : x
  2. Step 2: Convert to fraction form
    379.09/571.22 = 312.12/x
  3. Step 3: Cross multiply
    379.09x = 571.22 × 312.12
  4. Step 4: Simplify right side
    379.09x = 178,289.19
  5. Step 5: Solve for x
    x = 178,289.19/379.09
  6. Step 6: Final answer
    x = 470.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.