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Finding the Fourth Proportional to 116.20, 160.38 and 77.40

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Solution

The fourth proportional to 116.20, 160.38 and 77.40 is: 106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.20 : 160.38 = 77.40 : x
  2. Step 2: Convert to fraction form
    116.20/160.38 = 77.40/x
  3. Step 3: Cross multiply
    116.20x = 160.38 × 77.40
  4. Step 4: Simplify right side
    116.20x = 12,413.41
  5. Step 5: Solve for x
    x = 12,413.41/116.20
  6. Step 6: Final answer
    x = 106.83

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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.