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Finding the Fourth Proportional to 127.97, 175.36 and 115.67

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Solution

The fourth proportional to 127.97, 175.36 and 115.67 is: 158.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.97 : 175.36 = 115.67 : x
  2. Step 2: Convert to fraction form
    127.97/175.36 = 115.67/x
  3. Step 3: Cross multiply
    127.97x = 175.36 × 115.67
  4. Step 4: Simplify right side
    127.97x = 20,283.45
  5. Step 5: Solve for x
    x = 20,283.45/127.97
  6. Step 6: Final answer
    x = 158.51

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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.