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Finding the Fourth Proportional to 454.26, 680.76 and 237.41

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Solution

The fourth proportional to 454.26, 680.76 and 237.41 is: 355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.26 : 680.76 = 237.41 : x
  2. Step 2: Convert to fraction form
    454.26/680.76 = 237.41/x
  3. Step 3: Cross multiply
    454.26x = 680.76 × 237.41
  4. Step 4: Simplify right side
    454.26x = 161,615.83
  5. Step 5: Solve for x
    x = 161,615.83/454.26
  6. Step 6: Final answer
    x = 355.78

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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.