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Finding the Fourth Proportional to 455.01, 682.22 and 166.41

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Solution

The fourth proportional to 455.01, 682.22 and 166.41 is: 249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.01 : 682.22 = 166.41 : x
  2. Step 2: Convert to fraction form
    455.01/682.22 = 166.41/x
  3. Step 3: Cross multiply
    455.01x = 682.22 × 166.41
  4. Step 4: Simplify right side
    455.01x = 113,527.40
  5. Step 5: Solve for x
    x = 113,527.40/455.01
  6. Step 6: Final answer
    x = 249.51

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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.