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Finding the Fourth Proportional to 290.96, 401.52 and 174.48

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Solution

The fourth proportional to 290.96, 401.52 and 174.48 is: 240.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.96 : 401.52 = 174.48 : x
  2. Step 2: Convert to fraction form
    290.96/401.52 = 174.48/x
  3. Step 3: Cross multiply
    290.96x = 401.52 × 174.48
  4. Step 4: Simplify right side
    290.96x = 70,057.21
  5. Step 5: Solve for x
    x = 70,057.21/290.96
  6. Step 6: Final answer
    x = 240.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.