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Finding the Fourth Proportional to 319.39, 440.62 and 195.03

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Solution

The fourth proportional to 319.39, 440.62 and 195.03 is: 269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.39 : 440.62 = 195.03 : x
  2. Step 2: Convert to fraction form
    319.39/440.62 = 195.03/x
  3. Step 3: Cross multiply
    319.39x = 440.62 × 195.03
  4. Step 4: Simplify right side
    319.39x = 85,934.35
  5. Step 5: Solve for x
    x = 85,934.35/319.39
  6. Step 6: Final answer
    x = 269.05

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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.