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Finding the Fourth Proportional to 127.76, 190.60 and 108.64

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Solution

The fourth proportional to 127.76, 190.60 and 108.64 is: 162.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.76 : 190.60 = 108.64 : x
  2. Step 2: Convert to fraction form
    127.76/190.60 = 108.64/x
  3. Step 3: Cross multiply
    127.76x = 190.60 × 108.64
  4. Step 4: Simplify right side
    127.76x = 20,706.78
  5. Step 5: Solve for x
    x = 20,706.78/127.76
  6. Step 6: Final answer
    x = 162.08

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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.