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Finding the Fourth Proportional to 126.53, 190.65 and 104.20

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Solution

The fourth proportional to 126.53, 190.65 and 104.20 is: 157.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.53 : 190.65 = 104.20 : x
  2. Step 2: Convert to fraction form
    126.53/190.65 = 104.20/x
  3. Step 3: Cross multiply
    126.53x = 190.65 × 104.20
  4. Step 4: Simplify right side
    126.53x = 19,865.73
  5. Step 5: Solve for x
    x = 19,865.73/126.53
  6. Step 6: Final answer
    x = 157.01

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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.