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Finding the Fourth Proportional to 268.65, 370.64 and 194.85

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Solution

The fourth proportional to 268.65, 370.64 and 194.85 is: 268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.65 : 370.64 = 194.85 : x
  2. Step 2: Convert to fraction form
    268.65/370.64 = 194.85/x
  3. Step 3: Cross multiply
    268.65x = 370.64 × 194.85
  4. Step 4: Simplify right side
    268.65x = 72,218.23
  5. Step 5: Solve for x
    x = 72,218.23/268.65
  6. Step 6: Final answer
    x = 268.82

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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.