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Finding the Fourth Proportional to 455.26, 682.84 and 126.23

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Solution

The fourth proportional to 455.26, 682.84 and 126.23 is: 189.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.26 : 682.84 = 126.23 : x
  2. Step 2: Convert to fraction form
    455.26/682.84 = 126.23/x
  3. Step 3: Cross multiply
    455.26x = 682.84 × 126.23
  4. Step 4: Simplify right side
    455.26x = 86,191.64
  5. Step 5: Solve for x
    x = 86,191.64/455.26
  6. Step 6: Final answer
    x = 189.32

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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.