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Finding the Fourth Proportional to 127.22, 175.77 and 107.51

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Solution

The fourth proportional to 127.22, 175.77 and 107.51 is: 148.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.22 : 175.77 = 107.51 : x
  2. Step 2: Convert to fraction form
    127.22/175.77 = 107.51/x
  3. Step 3: Cross multiply
    127.22x = 175.77 × 107.51
  4. Step 4: Simplify right side
    127.22x = 18,896.15
  5. Step 5: Solve for x
    x = 18,896.15/127.22
  6. Step 6: Final answer
    x = 148.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.