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Finding the Fourth Proportional to 172.22, 258.24 and 142.49

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Solution

The fourth proportional to 172.22, 258.24 and 142.49 is: 213.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.22 : 258.24 = 142.49 : x
  2. Step 2: Convert to fraction form
    172.22/258.24 = 142.49/x
  3. Step 3: Cross multiply
    172.22x = 258.24 × 142.49
  4. Step 4: Simplify right side
    172.22x = 36,797.26
  5. Step 5: Solve for x
    x = 36,797.26/172.22
  6. Step 6: Final answer
    x = 213.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.