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Finding the Fourth Proportional to 163.90, 226.06 and 116.54

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Solution

The fourth proportional to 163.90, 226.06 and 116.54 is: 160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.90 : 226.06 = 116.54 : x
  2. Step 2: Convert to fraction form
    163.90/226.06 = 116.54/x
  3. Step 3: Cross multiply
    163.90x = 226.06 × 116.54
  4. Step 4: Simplify right side
    163.90x = 26,345.03
  5. Step 5: Solve for x
    x = 26,345.03/163.90
  6. Step 6: Final answer
    x = 160.74

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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.