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Finding the Fourth Proportional to 254.47, 351.03 and 161.23

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Solution

The fourth proportional to 254.47, 351.03 and 161.23 is: 222.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.47 : 351.03 = 161.23 : x
  2. Step 2: Convert to fraction form
    254.47/351.03 = 161.23/x
  3. Step 3: Cross multiply
    254.47x = 351.03 × 161.23
  4. Step 4: Simplify right side
    254.47x = 56,596.57
  5. Step 5: Solve for x
    x = 56,596.57/254.47
  6. Step 6: Final answer
    x = 222.41

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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.