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Finding the Fourth Proportional to 267.57, 371.23 and 265.14

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Solution

The fourth proportional to 267.57, 371.23 and 265.14 is: 367.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.57 : 371.23 = 265.14 : x
  2. Step 2: Convert to fraction form
    267.57/371.23 = 265.14/x
  3. Step 3: Cross multiply
    267.57x = 371.23 × 265.14
  4. Step 4: Simplify right side
    267.57x = 98,427.26
  5. Step 5: Solve for x
    x = 98,427.26/267.57
  6. Step 6: Final answer
    x = 367.86

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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.