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Finding the Fourth Proportional to 163.36, 225.45 and 105.16

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Solution

The fourth proportional to 163.36, 225.45 and 105.16 is: 145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.36 : 225.45 = 105.16 : x
  2. Step 2: Convert to fraction form
    163.36/225.45 = 105.16/x
  3. Step 3: Cross multiply
    163.36x = 225.45 × 105.16
  4. Step 4: Simplify right side
    163.36x = 23,708.32
  5. Step 5: Solve for x
    x = 23,708.32/163.36
  6. Step 6: Final answer
    x = 145.13

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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.