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Finding the Fourth Proportional to 552.31, 762.21 and 331.18

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Solution

The fourth proportional to 552.31, 762.21 and 331.18 is: 457.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.31 : 762.21 = 331.18 : x
  2. Step 2: Convert to fraction form
    552.31/762.21 = 331.18/x
  3. Step 3: Cross multiply
    552.31x = 762.21 × 331.18
  4. Step 4: Simplify right side
    552.31x = 252,428.71
  5. Step 5: Solve for x
    x = 252,428.71/552.31
  6. Step 6: Final answer
    x = 457.04

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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.