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Finding the Fourth Proportional to 129.08, 192.52 and 116.42

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Solution

The fourth proportional to 129.08, 192.52 and 116.42 is: 173.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.08 : 192.52 = 116.42 : x
  2. Step 2: Convert to fraction form
    129.08/192.52 = 116.42/x
  3. Step 3: Cross multiply
    129.08x = 192.52 × 116.42
  4. Step 4: Simplify right side
    129.08x = 22,413.18
  5. Step 5: Solve for x
    x = 22,413.18/129.08
  6. Step 6: Final answer
    x = 173.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.