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Finding the Fourth Proportional to 454.92, 682.43 and 208.11

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Solution

The fourth proportional to 454.92, 682.43 and 208.11 is: 312.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.92 : 682.43 = 208.11 : x
  2. Step 2: Convert to fraction form
    454.92/682.43 = 208.11/x
  3. Step 3: Cross multiply
    454.92x = 682.43 × 208.11
  4. Step 4: Simplify right side
    454.92x = 142,022.03
  5. Step 5: Solve for x
    x = 142,022.03/454.92
  6. Step 6: Final answer
    x = 312.19

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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.