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Finding the Fourth Proportional to 248.84, 343.23 and 161.49

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Solution

The fourth proportional to 248.84, 343.23 and 161.49 is: 222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.84 : 343.23 = 161.49 : x
  2. Step 2: Convert to fraction form
    248.84/343.23 = 161.49/x
  3. Step 3: Cross multiply
    248.84x = 343.23 × 161.49
  4. Step 4: Simplify right side
    248.84x = 55,428.21
  5. Step 5: Solve for x
    x = 55,428.21/248.84
  6. Step 6: Final answer
    x = 222.75

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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.