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Finding the Fourth Proportional to 130.97, 196.49 and 39.68

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Solution

The fourth proportional to 130.97, 196.49 and 39.68 is: 59.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.97 : 196.49 = 39.68 : x
  2. Step 2: Convert to fraction form
    130.97/196.49 = 39.68/x
  3. Step 3: Cross multiply
    130.97x = 196.49 × 39.68
  4. Step 4: Simplify right side
    130.97x = 7,797.31
  5. Step 5: Solve for x
    x = 7,797.31/130.97
  6. Step 6: Final answer
    x = 59.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.