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Finding the Fourth Proportional to 127.01, 174.06 and 126.80

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Solution

The fourth proportional to 127.01, 174.06 and 126.80 is: 173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.01 : 174.06 = 126.80 : x
  2. Step 2: Convert to fraction form
    127.01/174.06 = 126.80/x
  3. Step 3: Cross multiply
    127.01x = 174.06 × 126.80
  4. Step 4: Simplify right side
    127.01x = 22,069.94
  5. Step 5: Solve for x
    x = 22,069.94/127.01
  6. Step 6: Final answer
    x = 173.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.