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Finding the Fourth Proportional to 194.89, 293.67 and 161.39

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Solution

The fourth proportional to 194.89, 293.67 and 161.39 is: 243.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.89 : 293.67 = 161.39 : x
  2. Step 2: Convert to fraction form
    194.89/293.67 = 161.39/x
  3. Step 3: Cross multiply
    194.89x = 293.67 × 161.39
  4. Step 4: Simplify right side
    194.89x = 47,395.40
  5. Step 5: Solve for x
    x = 47,395.40/194.89
  6. Step 6: Final answer
    x = 243.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.