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Finding the Fourth Proportional to 126.66, 190.84 and 105.46

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Solution

The fourth proportional to 126.66, 190.84 and 105.46 is: 158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.66 : 190.84 = 105.46 : x
  2. Step 2: Convert to fraction form
    126.66/190.84 = 105.46/x
  3. Step 3: Cross multiply
    126.66x = 190.84 × 105.46
  4. Step 4: Simplify right side
    126.66x = 20,125.99
  5. Step 5: Solve for x
    x = 20,125.99/126.66
  6. Step 6: Final answer
    x = 158.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.