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Finding the Fourth Proportional to 130.28, 196.30 and 107.95

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Solution

The fourth proportional to 130.28, 196.30 and 107.95 is: 162.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.28 : 196.30 = 107.95 : x
  2. Step 2: Convert to fraction form
    130.28/196.30 = 107.95/x
  3. Step 3: Cross multiply
    130.28x = 196.30 × 107.95
  4. Step 4: Simplify right side
    130.28x = 21,190.59
  5. Step 5: Solve for x
    x = 21,190.59/130.28
  6. Step 6: Final answer
    x = 162.65

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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.