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Finding the Fourth Proportional to 127.37, 190.07 and 109.08

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Solution

The fourth proportional to 127.37, 190.07 and 109.08 is: 162.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.37 : 190.07 = 109.08 : x
  2. Step 2: Convert to fraction form
    127.37/190.07 = 109.08/x
  3. Step 3: Cross multiply
    127.37x = 190.07 × 109.08
  4. Step 4: Simplify right side
    127.37x = 20,732.29
  5. Step 5: Solve for x
    x = 20,732.29/127.37
  6. Step 6: Final answer
    x = 162.78

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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.