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Finding the Fourth Proportional to 267.41, 371.22 and 259.89

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Solution

The fourth proportional to 267.41, 371.22 and 259.89 is: 360.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.41 : 371.22 = 259.89 : x
  2. Step 2: Convert to fraction form
    267.41/371.22 = 259.89/x
  3. Step 3: Cross multiply
    267.41x = 371.22 × 259.89
  4. Step 4: Simplify right side
    267.41x = 96,476.37
  5. Step 5: Solve for x
    x = 96,476.37/267.41
  6. Step 6: Final answer
    x = 360.79

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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.