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Finding the Fourth Proportional to 267.26, 399.90 and 164.60

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Solution

The fourth proportional to 267.26, 399.90 and 164.60 is: 246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.26 : 399.90 = 164.60 : x
  2. Step 2: Convert to fraction form
    267.26/399.90 = 164.60/x
  3. Step 3: Cross multiply
    267.26x = 399.90 × 164.60
  4. Step 4: Simplify right side
    267.26x = 65,823.54
  5. Step 5: Solve for x
    x = 65,823.54/267.26
  6. Step 6: Final answer
    x = 246.29

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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.