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Finding the Fourth Proportional to 455.01, 682.60 and 166.47

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Solution

The fourth proportional to 455.01, 682.60 and 166.47 is: 249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.01 : 682.60 = 166.47 : x
  2. Step 2: Convert to fraction form
    455.01/682.60 = 166.47/x
  3. Step 3: Cross multiply
    455.01x = 682.60 × 166.47
  4. Step 4: Simplify right side
    455.01x = 113,632.42
  5. Step 5: Solve for x
    x = 113,632.42/455.01
  6. Step 6: Final answer
    x = 249.74

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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.