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Finding the Fourth Proportional to 260.21, 388.44 and 223.25

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Solution

The fourth proportional to 260.21, 388.44 and 223.25 is: 333.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.21 : 388.44 = 223.25 : x
  2. Step 2: Convert to fraction form
    260.21/388.44 = 223.25/x
  3. Step 3: Cross multiply
    260.21x = 388.44 × 223.25
  4. Step 4: Simplify right side
    260.21x = 86,719.23
  5. Step 5: Solve for x
    x = 86,719.23/260.21
  6. Step 6: Final answer
    x = 333.27

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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.