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Finding the Fourth Proportional to 319.05, 440.23 and 194.72

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Solution

The fourth proportional to 319.05, 440.23 and 194.72 is: 268.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.05 : 440.23 = 194.72 : x
  2. Step 2: Convert to fraction form
    319.05/440.23 = 194.72/x
  3. Step 3: Cross multiply
    319.05x = 440.23 × 194.72
  4. Step 4: Simplify right side
    319.05x = 85,721.59
  5. Step 5: Solve for x
    x = 85,721.59/319.05
  6. Step 6: Final answer
    x = 268.68

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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.