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Finding the Fourth Proportional to 326.36, 491.74 and 269.85

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Solution

The fourth proportional to 326.36, 491.74 and 269.85 is: 406.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.36 : 491.74 = 269.85 : x
  2. Step 2: Convert to fraction form
    326.36/491.74 = 269.85/x
  3. Step 3: Cross multiply
    326.36x = 491.74 × 269.85
  4. Step 4: Simplify right side
    326.36x = 132,697.21
  5. Step 5: Solve for x
    x = 132,697.21/326.36
  6. Step 6: Final answer
    x = 406.59

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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.