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Finding the Fourth Proportional to 194.42, 290.06 and 173.09

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Solution

The fourth proportional to 194.42, 290.06 and 173.09 is: 258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.42 : 290.06 = 173.09 : x
  2. Step 2: Convert to fraction form
    194.42/290.06 = 173.09/x
  3. Step 3: Cross multiply
    194.42x = 290.06 × 173.09
  4. Step 4: Simplify right side
    194.42x = 50,204.17
  5. Step 5: Solve for x
    x = 50,204.17/194.42
  6. Step 6: Final answer
    x = 258.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.