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Finding the Fourth Proportional to 127.90, 190.86 and 114.23

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Solution

The fourth proportional to 127.90, 190.86 and 114.23 is: 170.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.90 : 190.86 = 114.23 : x
  2. Step 2: Convert to fraction form
    127.90/190.86 = 114.23/x
  3. Step 3: Cross multiply
    127.90x = 190.86 × 114.23
  4. Step 4: Simplify right side
    127.90x = 21,800.41
  5. Step 5: Solve for x
    x = 21,800.41/127.90
  6. Step 6: Final answer
    x = 170.46

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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.