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Finding the Fourth Proportional to 323.81, 485.23 and 167.28

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Solution

The fourth proportional to 323.81, 485.23 and 167.28 is: 250.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.81 : 485.23 = 167.28 : x
  2. Step 2: Convert to fraction form
    323.81/485.23 = 167.28/x
  3. Step 3: Cross multiply
    323.81x = 485.23 × 167.28
  4. Step 4: Simplify right side
    323.81x = 81,166.88
  5. Step 5: Solve for x
    x = 81,166.88/323.81
  6. Step 6: Final answer
    x = 250.67

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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.