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Finding the Fourth Proportional to 371.20, 510.20 and 327.28

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Solution

The fourth proportional to 371.20, 510.20 and 327.28 is: 449.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.20 : 510.20 = 327.28 : x
  2. Step 2: Convert to fraction form
    371.20/510.20 = 327.28/x
  3. Step 3: Cross multiply
    371.20x = 510.20 × 327.28
  4. Step 4: Simplify right side
    371.20x = 166,978.26
  5. Step 5: Solve for x
    x = 166,978.26/371.20
  6. Step 6: Final answer
    x = 449.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.