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Finding the Fourth Proportional to 163.69, 245.67 and 115.63

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Solution

The fourth proportional to 163.69, 245.67 and 115.63 is: 173.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.69 : 245.67 = 115.63 : x
  2. Step 2: Convert to fraction form
    163.69/245.67 = 115.63/x
  3. Step 3: Cross multiply
    163.69x = 245.67 × 115.63
  4. Step 4: Simplify right side
    163.69x = 28,406.82
  5. Step 5: Solve for x
    x = 28,406.82/163.69
  6. Step 6: Final answer
    x = 173.54

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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.