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Finding the Fourth Proportional to 259.44, 357.60 and 212.73

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Solution

The fourth proportional to 259.44, 357.60 and 212.73 is: 293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.44 : 357.60 = 212.73 : x
  2. Step 2: Convert to fraction form
    259.44/357.60 = 212.73/x
  3. Step 3: Cross multiply
    259.44x = 357.60 × 212.73
  4. Step 4: Simplify right side
    259.44x = 76,072.25
  5. Step 5: Solve for x
    x = 76,072.25/259.44
  6. Step 6: Final answer
    x = 293.22

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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.