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Finding the Fourth Proportional to 117.94, 163.88 and 116.67

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Solution

The fourth proportional to 117.94, 163.88 and 116.67 is: 162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.94 : 163.88 = 116.67 : x
  2. Step 2: Convert to fraction form
    117.94/163.88 = 116.67/x
  3. Step 3: Cross multiply
    117.94x = 163.88 × 116.67
  4. Step 4: Simplify right side
    117.94x = 19,120.68
  5. Step 5: Solve for x
    x = 19,120.68/117.94
  6. Step 6: Final answer
    x = 162.12

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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.