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Finding the Fourth Proportional to 326.26, 491.60 and 269.74

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Solution

The fourth proportional to 326.26, 491.60 and 269.74 is: 406.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.26 : 491.60 = 269.74 : x
  2. Step 2: Convert to fraction form
    326.26/491.60 = 269.74/x
  3. Step 3: Cross multiply
    326.26x = 491.60 × 269.74
  4. Step 4: Simplify right side
    326.26x = 132,604.18
  5. Step 5: Solve for x
    x = 132,604.18/326.26
  6. Step 6: Final answer
    x = 406.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.