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Finding the Fourth Proportional to 117.96, 163.53 and 110.60

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Solution

The fourth proportional to 117.96, 163.53 and 110.60 is: 153.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.96 : 163.53 = 110.60 : x
  2. Step 2: Convert to fraction form
    117.96/163.53 = 110.60/x
  3. Step 3: Cross multiply
    117.96x = 163.53 × 110.60
  4. Step 4: Simplify right side
    117.96x = 18,086.42
  5. Step 5: Solve for x
    x = 18,086.42/117.96
  6. Step 6: Final answer
    x = 153.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.