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Finding the Fourth Proportional to 163.26, 225.36 and 105.06

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Solution

The fourth proportional to 163.26, 225.36 and 105.06 is: 145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.26 : 225.36 = 105.06 : x
  2. Step 2: Convert to fraction form
    163.26/225.36 = 105.06/x
  3. Step 3: Cross multiply
    163.26x = 225.36 × 105.06
  4. Step 4: Simplify right side
    163.26x = 23,676.32
  5. Step 5: Solve for x
    x = 23,676.32/163.26
  6. Step 6: Final answer
    x = 145.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.