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Finding the Fourth Proportional to 326.65, 490.11 and 172.69

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Solution

The fourth proportional to 326.65, 490.11 and 172.69 is: 259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.65 : 490.11 = 172.69 : x
  2. Step 2: Convert to fraction form
    326.65/490.11 = 172.69/x
  3. Step 3: Cross multiply
    326.65x = 490.11 × 172.69
  4. Step 4: Simplify right side
    326.65x = 84,635.87
  5. Step 5: Solve for x
    x = 84,635.87/326.65
  6. Step 6: Final answer
    x = 259.10

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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.