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Finding the Fourth Proportional to 268.27, 370.38 and 205.99

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Solution

The fourth proportional to 268.27, 370.38 and 205.99 is: 284.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.27 : 370.38 = 205.99 : x
  2. Step 2: Convert to fraction form
    268.27/370.38 = 205.99/x
  3. Step 3: Cross multiply
    268.27x = 370.38 × 205.99
  4. Step 4: Simplify right side
    268.27x = 76,294.58
  5. Step 5: Solve for x
    x = 76,294.58/268.27
  6. Step 6: Final answer
    x = 284.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.