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Finding the Fourth Proportional to 127.38, 190.75 and 115.05

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Solution

The fourth proportional to 127.38, 190.75 and 115.05 is: 172.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.38 : 190.75 = 115.05 : x
  2. Step 2: Convert to fraction form
    127.38/190.75 = 115.05/x
  3. Step 3: Cross multiply
    127.38x = 190.75 × 115.05
  4. Step 4: Simplify right side
    127.38x = 21,946.43
  5. Step 5: Solve for x
    x = 21,946.43/127.38
  6. Step 6: Final answer
    x = 172.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.