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Finding the Fourth Proportional to 326.42, 488.42 and 196.51

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Solution

The fourth proportional to 326.42, 488.42 and 196.51 is: 294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.42 : 488.42 = 196.51 : x
  2. Step 2: Convert to fraction form
    326.42/488.42 = 196.51/x
  3. Step 3: Cross multiply
    326.42x = 488.42 × 196.51
  4. Step 4: Simplify right side
    326.42x = 95,976.97
  5. Step 5: Solve for x
    x = 95,976.97/326.42
  6. Step 6: Final answer
    x = 294.03

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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.