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Finding the Fourth Proportional to 122.15, 182.19 and 114.46

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Solution

The fourth proportional to 122.15, 182.19 and 114.46 is: 170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.15 : 182.19 = 114.46 : x
  2. Step 2: Convert to fraction form
    122.15/182.19 = 114.46/x
  3. Step 3: Cross multiply
    122.15x = 182.19 × 114.46
  4. Step 4: Simplify right side
    122.15x = 20,853.01
  5. Step 5: Solve for x
    x = 20,853.01/122.15
  6. Step 6: Final answer
    x = 170.71

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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.