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Finding the Fourth Proportional to 248.96, 343.68 and 161.92

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Solution

The fourth proportional to 248.96, 343.68 and 161.92 is: 223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.96 : 343.68 = 161.92 : x
  2. Step 2: Convert to fraction form
    248.96/343.68 = 161.92/x
  3. Step 3: Cross multiply
    248.96x = 343.68 × 161.92
  4. Step 4: Simplify right side
    248.96x = 55,648.67
  5. Step 5: Solve for x
    x = 55,648.67/248.96
  6. Step 6: Final answer
    x = 223.52

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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.