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Finding the Fourth Proportional to 127.75, 190.21 and 127.18

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Solution

The fourth proportional to 127.75, 190.21 and 127.18 is: 189.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.75 : 190.21 = 127.18 : x
  2. Step 2: Convert to fraction form
    127.75/190.21 = 127.18/x
  3. Step 3: Cross multiply
    127.75x = 190.21 × 127.18
  4. Step 4: Simplify right side
    127.75x = 24,189.32
  5. Step 5: Solve for x
    x = 24,189.32/127.75
  6. Step 6: Final answer
    x = 189.35

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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.