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Finding the Fourth Proportional to 455.29, 682.42 and 208.69

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Solution

The fourth proportional to 455.29, 682.42 and 208.69 is: 312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.29 : 682.42 = 208.69 : x
  2. Step 2: Convert to fraction form
    455.29/682.42 = 208.69/x
  3. Step 3: Cross multiply
    455.29x = 682.42 × 208.69
  4. Step 4: Simplify right side
    455.29x = 142,414.23
  5. Step 5: Solve for x
    x = 142,414.23/455.29
  6. Step 6: Final answer
    x = 312.80

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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.