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Finding the Fourth Proportional to 268.06, 370.13 and 205.79

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Solution

The fourth proportional to 268.06, 370.13 and 205.79 is: 284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.06 : 370.13 = 205.79 : x
  2. Step 2: Convert to fraction form
    268.06/370.13 = 205.79/x
  3. Step 3: Cross multiply
    268.06x = 370.13 × 205.79
  4. Step 4: Simplify right side
    268.06x = 76,168.33
  5. Step 5: Solve for x
    x = 76,168.33/268.06
  6. Step 6: Final answer
    x = 284.15

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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.