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Finding the Fourth Proportional to 254.34, 351.22 and 161.24

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Solution

The fourth proportional to 254.34, 351.22 and 161.24 is: 222.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.34 : 351.22 = 161.24 : x
  2. Step 2: Convert to fraction form
    254.34/351.22 = 161.24/x
  3. Step 3: Cross multiply
    254.34x = 351.22 × 161.24
  4. Step 4: Simplify right side
    254.34x = 56,630.71
  5. Step 5: Solve for x
    x = 56,630.71/254.34
  6. Step 6: Final answer
    x = 222.66

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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.