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Finding the Fourth Proportional to 326.57, 490.23 and 172.44

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Solution

The fourth proportional to 326.57, 490.23 and 172.44 is: 258.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.57 : 490.23 = 172.44 : x
  2. Step 2: Convert to fraction form
    326.57/490.23 = 172.44/x
  3. Step 3: Cross multiply
    326.57x = 490.23 × 172.44
  4. Step 4: Simplify right side
    326.57x = 84,535.26
  5. Step 5: Solve for x
    x = 84,535.26/326.57
  6. Step 6: Final answer
    x = 258.86

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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.