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Finding the Fourth Proportional to 258.94, 357.78 and 209.73

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Solution

The fourth proportional to 258.94, 357.78 and 209.73 is: 289.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.94 : 357.78 = 209.73 : x
  2. Step 2: Convert to fraction form
    258.94/357.78 = 209.73/x
  3. Step 3: Cross multiply
    258.94x = 357.78 × 209.73
  4. Step 4: Simplify right side
    258.94x = 75,037.20
  5. Step 5: Solve for x
    x = 75,037.20/258.94
  6. Step 6: Final answer
    x = 289.79

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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.