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Finding the Fourth Proportional to 267.45, 371.64 and 266.37

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Solution

The fourth proportional to 267.45, 371.64 and 266.37 is: 370.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.45 : 371.64 = 266.37 : x
  2. Step 2: Convert to fraction form
    267.45/371.64 = 266.37/x
  3. Step 3: Cross multiply
    267.45x = 371.64 × 266.37
  4. Step 4: Simplify right side
    267.45x = 98,993.75
  5. Step 5: Solve for x
    x = 98,993.75/267.45
  6. Step 6: Final answer
    x = 370.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.