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Finding the Fourth Proportional to 371.82, 557.46 and 321.06

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Solution

The fourth proportional to 371.82, 557.46 and 321.06 is: 481.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.82 : 557.46 = 321.06 : x
  2. Step 2: Convert to fraction form
    371.82/557.46 = 321.06/x
  3. Step 3: Cross multiply
    371.82x = 557.46 × 321.06
  4. Step 4: Simplify right side
    371.82x = 178,978.11
  5. Step 5: Solve for x
    x = 178,978.11/371.82
  6. Step 6: Final answer
    x = 481.36

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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.