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Finding the Fourth Proportional to 455.02, 682.38 and 166.38

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Solution

The fourth proportional to 455.02, 682.38 and 166.38 is: 249.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.02 : 682.38 = 166.38 : x
  2. Step 2: Convert to fraction form
    455.02/682.38 = 166.38/x
  3. Step 3: Cross multiply
    455.02x = 682.38 × 166.38
  4. Step 4: Simplify right side
    455.02x = 113,534.38
  5. Step 5: Solve for x
    x = 113,534.38/455.02
  6. Step 6: Final answer
    x = 249.52

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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.