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Finding the Fourth Proportional to 258.74, 356.69 and 196.34

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Solution

The fourth proportional to 258.74, 356.69 and 196.34 is: 270.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.74 : 356.69 = 196.34 : x
  2. Step 2: Convert to fraction form
    258.74/356.69 = 196.34/x
  3. Step 3: Cross multiply
    258.74x = 356.69 × 196.34
  4. Step 4: Simplify right side
    258.74x = 70,032.51
  5. Step 5: Solve for x
    x = 70,032.51/258.74
  6. Step 6: Final answer
    x = 270.67

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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.