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Finding the Fourth Proportional to 194.66, 290.59 and 166.94

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Solution

The fourth proportional to 194.66, 290.59 and 166.94 is: 249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.66 : 290.59 = 166.94 : x
  2. Step 2: Convert to fraction form
    194.66/290.59 = 166.94/x
  3. Step 3: Cross multiply
    194.66x = 290.59 × 166.94
  4. Step 4: Simplify right side
    194.66x = 48,511.09
  5. Step 5: Solve for x
    x = 48,511.09/194.66
  6. Step 6: Final answer
    x = 249.21

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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.