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Finding the Fourth Proportional to 122.23, 182.91 and 105.31

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Solution

The fourth proportional to 122.23, 182.91 and 105.31 is: 157.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.23 : 182.91 = 105.31 : x
  2. Step 2: Convert to fraction form
    122.23/182.91 = 105.31/x
  3. Step 3: Cross multiply
    122.23x = 182.91 × 105.31
  4. Step 4: Simplify right side
    122.23x = 19,262.25
  5. Step 5: Solve for x
    x = 19,262.25/122.23
  6. Step 6: Final answer
    x = 157.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.