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Finding the Fourth Proportional to 116.92, 160.95 and 108.19

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Solution

The fourth proportional to 116.92, 160.95 and 108.19 is: 148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.92 : 160.95 = 108.19 : x
  2. Step 2: Convert to fraction form
    116.92/160.95 = 108.19/x
  3. Step 3: Cross multiply
    116.92x = 160.95 × 108.19
  4. Step 4: Simplify right side
    116.92x = 17,413.18
  5. Step 5: Solve for x
    x = 17,413.18/116.92
  6. Step 6: Final answer
    x = 148.93

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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.