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Finding the Fourth Proportional to 166.86, 230.22 and 96.90

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Solution

The fourth proportional to 166.86, 230.22 and 96.90 is: 133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.86 : 230.22 = 96.90 : x
  2. Step 2: Convert to fraction form
    166.86/230.22 = 96.90/x
  3. Step 3: Cross multiply
    166.86x = 230.22 × 96.90
  4. Step 4: Simplify right side
    166.86x = 22,308.32
  5. Step 5: Solve for x
    x = 22,308.32/166.86
  6. Step 6: Final answer
    x = 133.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.