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Finding the Fourth Proportional to 166.66, 250.94 and 121.32

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Solution

The fourth proportional to 166.66, 250.94 and 121.32 is: 182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.66 : 250.94 = 121.32 : x
  2. Step 2: Convert to fraction form
    166.66/250.94 = 121.32/x
  3. Step 3: Cross multiply
    166.66x = 250.94 × 121.32
  4. Step 4: Simplify right side
    166.66x = 30,444.34
  5. Step 5: Solve for x
    x = 30,444.34/166.66
  6. Step 6: Final answer
    x = 182.68

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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.