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Finding the Fourth Proportional to 455.17, 682.80 and 166.63

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Solution

The fourth proportional to 455.17, 682.80 and 166.63 is: 249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.17 : 682.80 = 166.63 : x
  2. Step 2: Convert to fraction form
    455.17/682.80 = 166.63/x
  3. Step 3: Cross multiply
    455.17x = 682.80 × 166.63
  4. Step 4: Simplify right side
    455.17x = 113,774.96
  5. Step 5: Solve for x
    x = 113,774.96/455.17
  6. Step 6: Final answer
    x = 249.96

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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.