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Finding the Fourth Proportional to 248.61, 343.25 and 161.41

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Solution

The fourth proportional to 248.61, 343.25 and 161.41 is: 222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.61 : 343.25 = 161.41 : x
  2. Step 2: Convert to fraction form
    248.61/343.25 = 161.41/x
  3. Step 3: Cross multiply
    248.61x = 343.25 × 161.41
  4. Step 4: Simplify right side
    248.61x = 55,403.18
  5. Step 5: Solve for x
    x = 55,403.18/248.61
  6. Step 6: Final answer
    x = 222.85

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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.