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Finding the Fourth Proportional to 122.27, 182.03 and 121.66

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Solution

The fourth proportional to 122.27, 182.03 and 121.66 is: 181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.27 : 182.03 = 121.66 : x
  2. Step 2: Convert to fraction form
    122.27/182.03 = 121.66/x
  3. Step 3: Cross multiply
    122.27x = 182.03 × 121.66
  4. Step 4: Simplify right side
    122.27x = 22,144.71
  5. Step 5: Solve for x
    x = 22,144.71/122.27
  6. Step 6: Final answer
    x = 181.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.