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Finding the Fourth Proportional to 172.78, 259.08 and 91.54

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Solution

The fourth proportional to 172.78, 259.08 and 91.54 is: 137.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.78 : 259.08 = 91.54 : x
  2. Step 2: Convert to fraction form
    172.78/259.08 = 91.54/x
  3. Step 3: Cross multiply
    172.78x = 259.08 × 91.54
  4. Step 4: Simplify right side
    172.78x = 23,716.18
  5. Step 5: Solve for x
    x = 23,716.18/172.78
  6. Step 6: Final answer
    x = 137.26

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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.