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Finding the Fourth Proportional to 260.44, 359.39 and 162.21

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Solution

The fourth proportional to 260.44, 359.39 and 162.21 is: 223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.44 : 359.39 = 162.21 : x
  2. Step 2: Convert to fraction form
    260.44/359.39 = 162.21/x
  3. Step 3: Cross multiply
    260.44x = 359.39 × 162.21
  4. Step 4: Simplify right side
    260.44x = 58,294.04
  5. Step 5: Solve for x
    x = 58,294.04/260.44
  6. Step 6: Final answer
    x = 223.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.