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Finding the Fourth Proportional to 127.97, 190.59 and 127.29

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Solution

The fourth proportional to 127.97, 190.59 and 127.29 is: 189.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.97 : 190.59 = 127.29 : x
  2. Step 2: Convert to fraction form
    127.97/190.59 = 127.29/x
  3. Step 3: Cross multiply
    127.97x = 190.59 × 127.29
  4. Step 4: Simplify right side
    127.97x = 24,260.20
  5. Step 5: Solve for x
    x = 24,260.20/127.97
  6. Step 6: Final answer
    x = 189.58

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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.