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Finding the Fourth Proportional to 248.49, 371.23 and 161.11

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Solution

The fourth proportional to 248.49, 371.23 and 161.11 is: 240.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.49 : 371.23 = 161.11 : x
  2. Step 2: Convert to fraction form
    248.49/371.23 = 161.11/x
  3. Step 3: Cross multiply
    248.49x = 371.23 × 161.11
  4. Step 4: Simplify right side
    248.49x = 59,808.87
  5. Step 5: Solve for x
    x = 59,808.87/248.49
  6. Step 6: Final answer
    x = 240.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.