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Finding the Fourth Proportional to 127.73, 190.20 and 116.84

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Solution

The fourth proportional to 127.73, 190.20 and 116.84 is: 173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.73 : 190.20 = 116.84 : x
  2. Step 2: Convert to fraction form
    127.73/190.20 = 116.84/x
  3. Step 3: Cross multiply
    127.73x = 190.20 × 116.84
  4. Step 4: Simplify right side
    127.73x = 22,222.38
  5. Step 5: Solve for x
    x = 22,222.38/127.73
  6. Step 6: Final answer
    x = 173.98

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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.