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Finding the Fourth Proportional to 378.44, 522.07 and 267.97

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Solution

The fourth proportional to 378.44, 522.07 and 267.97 is: 369.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.44 : 522.07 = 267.97 : x
  2. Step 2: Convert to fraction form
    378.44/522.07 = 267.97/x
  3. Step 3: Cross multiply
    378.44x = 522.07 × 267.97
  4. Step 4: Simplify right side
    378.44x = 139,899.10
  5. Step 5: Solve for x
    x = 139,899.10/378.44
  6. Step 6: Final answer
    x = 369.67

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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.