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Finding the Fourth Proportional to 290.64, 401.11 and 166.34

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Solution

The fourth proportional to 290.64, 401.11 and 166.34 is: 229.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.64 : 401.11 = 166.34 : x
  2. Step 2: Convert to fraction form
    290.64/401.11 = 166.34/x
  3. Step 3: Cross multiply
    290.64x = 401.11 × 166.34
  4. Step 4: Simplify right side
    290.64x = 66,720.22
  5. Step 5: Solve for x
    x = 66,720.22/290.64
  6. Step 6: Final answer
    x = 229.56

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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.