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Finding the Fourth Proportional to 290.16, 434.16 and 168.48

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Solution

The fourth proportional to 290.16, 434.16 and 168.48 is: 252.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.16 : 434.16 = 168.48 : x
  2. Step 2: Convert to fraction form
    290.16/434.16 = 168.48/x
  3. Step 3: Cross multiply
    290.16x = 434.16 × 168.48
  4. Step 4: Simplify right side
    290.16x = 73,147.28
  5. Step 5: Solve for x
    x = 73,147.28/290.16
  6. Step 6: Final answer
    x = 252.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.