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Finding the Fourth Proportional to 258.56, 386.88 and 226.88

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Solution

The fourth proportional to 258.56, 386.88 and 226.88 is: 339.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.56 : 386.88 = 226.88 : x
  2. Step 2: Convert to fraction form
    258.56/386.88 = 226.88/x
  3. Step 3: Cross multiply
    258.56x = 386.88 × 226.88
  4. Step 4: Simplify right side
    258.56x = 87,775.33
  5. Step 5: Solve for x
    x = 87,775.33/258.56
  6. Step 6: Final answer
    x = 339.48

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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.