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Finding the Fourth Proportional to 126.14, 190 and 107.30

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Solution

The fourth proportional to 126.14, 190 and 107.30 is: 161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.14 : 190 = 107.30 : x
  2. Step 2: Convert to fraction form
    126.14/190 = 107.30/x
  3. Step 3: Cross multiply
    126.14x = 190 × 107.30
  4. Step 4: Simplify right side
    126.14x = 20,387
  5. Step 5: Solve for x
    x = 20,387/126.14
  6. Step 6: Final answer
    x = 161.62

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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.