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Finding the Fourth Proportional to 172.36, 259.41 and 129.26

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Solution

The fourth proportional to 172.36, 259.41 and 129.26 is: 194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.36 : 259.41 = 129.26 : x
  2. Step 2: Convert to fraction form
    172.36/259.41 = 129.26/x
  3. Step 3: Cross multiply
    172.36x = 259.41 × 129.26
  4. Step 4: Simplify right side
    172.36x = 33,531.01
  5. Step 5: Solve for x
    x = 33,531.01/172.36
  6. Step 6: Final answer
    x = 194.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.