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Finding the Fourth Proportional to 268.65, 370.61 and 194.84

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Solution

The fourth proportional to 268.65, 370.61 and 194.84 is: 268.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.65 : 370.61 = 194.84 : x
  2. Step 2: Convert to fraction form
    268.65/370.61 = 194.84/x
  3. Step 3: Cross multiply
    268.65x = 370.61 × 194.84
  4. Step 4: Simplify right side
    268.65x = 72,208.95
  5. Step 5: Solve for x
    x = 72,208.95/268.65
  6. Step 6: Final answer
    x = 268.78

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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.