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Finding the Fourth Proportional to 127.58, 192.17 and 119.89

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Solution

The fourth proportional to 127.58, 192.17 and 119.89 is: 180.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.58 : 192.17 = 119.89 : x
  2. Step 2: Convert to fraction form
    127.58/192.17 = 119.89/x
  3. Step 3: Cross multiply
    127.58x = 192.17 × 119.89
  4. Step 4: Simplify right side
    127.58x = 23,039.26
  5. Step 5: Solve for x
    x = 23,039.26/127.58
  6. Step 6: Final answer
    x = 180.59

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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.