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Finding the Fourth Proportional to 453.31, 680.31 and 233.92

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Solution

The fourth proportional to 453.31, 680.31 and 233.92 is: 351.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.31 : 680.31 = 233.92 : x
  2. Step 2: Convert to fraction form
    453.31/680.31 = 233.92/x
  3. Step 3: Cross multiply
    453.31x = 680.31 × 233.92
  4. Step 4: Simplify right side
    453.31x = 159,138.12
  5. Step 5: Solve for x
    x = 159,138.12/453.31
  6. Step 6: Final answer
    x = 351.06

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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.