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Finding the Fourth Proportional to 268.27, 371.77 and 263.41

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Solution

The fourth proportional to 268.27, 371.77 and 263.41 is: 365.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.27 : 371.77 = 263.41 : x
  2. Step 2: Convert to fraction form
    268.27/371.77 = 263.41/x
  3. Step 3: Cross multiply
    268.27x = 371.77 × 263.41
  4. Step 4: Simplify right side
    268.27x = 97,927.83
  5. Step 5: Solve for x
    x = 97,927.83/268.27
  6. Step 6: Final answer
    x = 365.04

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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.