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Finding the Fourth Proportional to 327.81, 492.03 and 267.67

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Solution

The fourth proportional to 327.81, 492.03 and 267.67 is: 401.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.81 : 492.03 = 267.67 : x
  2. Step 2: Convert to fraction form
    327.81/492.03 = 267.67/x
  3. Step 3: Cross multiply
    327.81x = 492.03 × 267.67
  4. Step 4: Simplify right side
    327.81x = 131,701.67
  5. Step 5: Solve for x
    x = 131,701.67/327.81
  6. Step 6: Final answer
    x = 401.76

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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.