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Finding the Fourth Proportional to 290.67, 401.09 and 166.35

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Solution

The fourth proportional to 290.67, 401.09 and 166.35 is: 229.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.67 : 401.09 = 166.35 : x
  2. Step 2: Convert to fraction form
    290.67/401.09 = 166.35/x
  3. Step 3: Cross multiply
    290.67x = 401.09 × 166.35
  4. Step 4: Simplify right side
    290.67x = 66,720.49
  5. Step 5: Solve for x
    x = 66,720.49/290.67
  6. Step 6: Final answer
    x = 229.54

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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.