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Finding the Fourth Proportional to 127.74, 190.63 and 126.21

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Solution

The fourth proportional to 127.74, 190.63 and 126.21 is: 188.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.74 : 190.63 = 126.21 : x
  2. Step 2: Convert to fraction form
    127.74/190.63 = 126.21/x
  3. Step 3: Cross multiply
    127.74x = 190.63 × 126.21
  4. Step 4: Simplify right side
    127.74x = 24,059.10
  5. Step 5: Solve for x
    x = 24,059.10/127.74
  6. Step 6: Final answer
    x = 188.34

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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.