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Finding the Fourth Proportional to 129.06, 192.58 and 115.44

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Solution

The fourth proportional to 129.06, 192.58 and 115.44 is: 172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.06 : 192.58 = 115.44 : x
  2. Step 2: Convert to fraction form
    129.06/192.58 = 115.44/x
  3. Step 3: Cross multiply
    129.06x = 192.58 × 115.44
  4. Step 4: Simplify right side
    129.06x = 22,231.15
  5. Step 5: Solve for x
    x = 22,231.15/129.06
  6. Step 6: Final answer
    x = 172.25

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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.