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Finding the Fourth Proportional to 454.50, 680.22 and 333

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Solution

The fourth proportional to 454.50, 680.22 and 333 is: 498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.50 : 680.22 = 333 : x
  2. Step 2: Convert to fraction form
    454.50/680.22 = 333/x
  3. Step 3: Cross multiply
    454.50x = 680.22 × 333
  4. Step 4: Simplify right side
    454.50x = 226,513.26
  5. Step 5: Solve for x
    x = 226,513.26/454.50
  6. Step 6: Final answer
    x = 498.38

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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.