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Finding the Fourth Proportional to 127.87, 192.75 and 120.44

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Solution

The fourth proportional to 127.87, 192.75 and 120.44 is: 181.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.87 : 192.75 = 120.44 : x
  2. Step 2: Convert to fraction form
    127.87/192.75 = 120.44/x
  3. Step 3: Cross multiply
    127.87x = 192.75 × 120.44
  4. Step 4: Simplify right side
    127.87x = 23,214.81
  5. Step 5: Solve for x
    x = 23,214.81/127.87
  6. Step 6: Final answer
    x = 181.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.