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Finding the Fourth Proportional to 260.22, 389.36 and 161.42

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Solution

The fourth proportional to 260.22, 389.36 and 161.42 is: 241.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.22 : 389.36 = 161.42 : x
  2. Step 2: Convert to fraction form
    260.22/389.36 = 161.42/x
  3. Step 3: Cross multiply
    260.22x = 389.36 × 161.42
  4. Step 4: Simplify right side
    260.22x = 62,847.74
  5. Step 5: Solve for x
    x = 62,847.74/260.22
  6. Step 6: Final answer
    x = 241.52

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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.