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Finding the Fourth Proportional to 166.86, 252.18 and 166.86

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Solution

The fourth proportional to 166.86, 252.18 and 166.86 is: 252.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.86 : 252.18 = 166.86 : x
  2. Step 2: Convert to fraction form
    166.86/252.18 = 166.86/x
  3. Step 3: Cross multiply
    166.86x = 252.18 × 166.86
  4. Step 4: Simplify right side
    166.86x = 42,078.75
  5. Step 5: Solve for x
    x = 42,078.75/166.86
  6. Step 6: Final answer
    x = 252.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.