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Finding the Fourth Proportional to 323.60, 446.38 and 218.67

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Solution

The fourth proportional to 323.60, 446.38 and 218.67 is: 301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.60 : 446.38 = 218.67 : x
  2. Step 2: Convert to fraction form
    323.60/446.38 = 218.67/x
  3. Step 3: Cross multiply
    323.60x = 446.38 × 218.67
  4. Step 4: Simplify right side
    323.60x = 97,607.69
  5. Step 5: Solve for x
    x = 97,607.69/323.60
  6. Step 6: Final answer
    x = 301.64

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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.