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Finding the Fourth Proportional to 318.98, 440.25 and 194.75

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Solution

The fourth proportional to 318.98, 440.25 and 194.75 is: 268.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.98 : 440.25 = 194.75 : x
  2. Step 2: Convert to fraction form
    318.98/440.25 = 194.75/x
  3. Step 3: Cross multiply
    318.98x = 440.25 × 194.75
  4. Step 4: Simplify right side
    318.98x = 85,735.51
  5. Step 5: Solve for x
    x = 85,735.51/318.98
  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.