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Finding the Fourth Proportional to 270.67, 371.38 and 263.77

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Solution

The fourth proportional to 270.67, 371.38 and 263.77 is: 361.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.67 : 371.38 = 263.77 : x
  2. Step 2: Convert to fraction form
    270.67/371.38 = 263.77/x
  3. Step 3: Cross multiply
    270.67x = 371.38 × 263.77
  4. Step 4: Simplify right side
    270.67x = 97,958.90
  5. Step 5: Solve for x
    x = 97,958.90/270.67
  6. Step 6: Final answer
    x = 361.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.