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Finding the Fourth Proportional to 163.78, 245.14 and 114.97

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Solution

The fourth proportional to 163.78, 245.14 and 114.97 is: 172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.78 : 245.14 = 114.97 : x
  2. Step 2: Convert to fraction form
    163.78/245.14 = 114.97/x
  3. Step 3: Cross multiply
    163.78x = 245.14 × 114.97
  4. Step 4: Simplify right side
    163.78x = 28,183.75
  5. Step 5: Solve for x
    x = 28,183.75/163.78
  6. Step 6: Final answer
    x = 172.08

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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.