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Finding the Fourth Proportional to 254.89, 351.87 and 161.68

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Solution

The fourth proportional to 254.89, 351.87 and 161.68 is: 223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.89 : 351.87 = 161.68 : x
  2. Step 2: Convert to fraction form
    254.89/351.87 = 161.68/x
  3. Step 3: Cross multiply
    254.89x = 351.87 × 161.68
  4. Step 4: Simplify right side
    254.89x = 56,890.34
  5. Step 5: Solve for x
    x = 56,890.34/254.89
  6. Step 6: Final answer
    x = 223.20

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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.