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Finding the Fourth Proportional to 319.22, 440.56 and 194.92

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Solution

The fourth proportional to 319.22, 440.56 and 194.92 is: 269.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.22 : 440.56 = 194.92 : x
  2. Step 2: Convert to fraction form
    319.22/440.56 = 194.92/x
  3. Step 3: Cross multiply
    319.22x = 440.56 × 194.92
  4. Step 4: Simplify right side
    319.22x = 85,873.96
  5. Step 5: Solve for x
    x = 85,873.96/319.22
  6. Step 6: Final answer
    x = 269.01

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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.