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Finding the Fourth Proportional to 127.81, 190.79 and 110.80

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Solution

The fourth proportional to 127.81, 190.79 and 110.80 is: 165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.81 : 190.79 = 110.80 : x
  2. Step 2: Convert to fraction form
    127.81/190.79 = 110.80/x
  3. Step 3: Cross multiply
    127.81x = 190.79 × 110.80
  4. Step 4: Simplify right side
    127.81x = 21,139.53
  5. Step 5: Solve for x
    x = 21,139.53/127.81
  6. Step 6: Final answer
    x = 165.40

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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.