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Finding the Fourth Proportional to 248.21, 342.53 and 161.03

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Solution

The fourth proportional to 248.21, 342.53 and 161.03 is: 222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.21 : 342.53 = 161.03 : x
  2. Step 2: Convert to fraction form
    248.21/342.53 = 161.03/x
  3. Step 3: Cross multiply
    248.21x = 342.53 × 161.03
  4. Step 4: Simplify right side
    248.21x = 55,158.26
  5. Step 5: Solve for x
    x = 55,158.26/248.21
  6. Step 6: Final answer
    x = 222.23

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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.