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Finding the Fourth Proportional to 326.86, 450.91 and 195.77

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Solution

The fourth proportional to 326.86, 450.91 and 195.77 is: 270.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.86 : 450.91 = 195.77 : x
  2. Step 2: Convert to fraction form
    326.86/450.91 = 195.77/x
  3. Step 3: Cross multiply
    326.86x = 450.91 × 195.77
  4. Step 4: Simplify right side
    326.86x = 88,274.65
  5. Step 5: Solve for x
    x = 88,274.65/326.86
  6. Step 6: Final answer
    x = 270.07

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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.