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Finding the Fourth Proportional to 552.31, 762.26 and 331.27

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Solution

The fourth proportional to 552.31, 762.26 and 331.27 is: 457.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.31 : 762.26 = 331.27 : x
  2. Step 2: Convert to fraction form
    552.31/762.26 = 331.27/x
  3. Step 3: Cross multiply
    552.31x = 762.26 × 331.27
  4. Step 4: Simplify right side
    552.31x = 252,510.31
  5. Step 5: Solve for x
    x = 252,510.31/552.31
  6. Step 6: Final answer
    x = 457.19

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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.