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Finding the Fourth Proportional to 122.37, 167.66 and 119.40

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Solution

The fourth proportional to 122.37, 167.66 and 119.40 is: 163.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.37 : 167.66 = 119.40 : x
  2. Step 2: Convert to fraction form
    122.37/167.66 = 119.40/x
  3. Step 3: Cross multiply
    122.37x = 167.66 × 119.40
  4. Step 4: Simplify right side
    122.37x = 20,018.01
  5. Step 5: Solve for x
    x = 20,018.01/122.37
  6. Step 6: Final answer
    x = 163.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.