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Finding the Fourth Proportional to 195.60, 293.49 and 103.14

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Solution

The fourth proportional to 195.60, 293.49 and 103.14 is: 154.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.60 : 293.49 = 103.14 : x
  2. Step 2: Convert to fraction form
    195.60/293.49 = 103.14/x
  3. Step 3: Cross multiply
    195.60x = 293.49 × 103.14
  4. Step 4: Simplify right side
    195.60x = 30,270.56
  5. Step 5: Solve for x
    x = 30,270.56/195.60
  6. Step 6: Final answer
    x = 154.76

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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.