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Finding the Fourth Proportional to 290.44, 400.78 and 166.11

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Solution

The fourth proportional to 290.44, 400.78 and 166.11 is: 229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.44 : 400.78 = 166.11 : x
  2. Step 2: Convert to fraction form
    290.44/400.78 = 166.11/x
  3. Step 3: Cross multiply
    290.44x = 400.78 × 166.11
  4. Step 4: Simplify right side
    290.44x = 66,573.57
  5. Step 5: Solve for x
    x = 66,573.57/290.44
  6. Step 6: Final answer
    x = 229.22

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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.