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Finding the Fourth Proportional to 195.20, 293.10 and 114.20

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Solution

The fourth proportional to 195.20, 293.10 and 114.20 is: 171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.20 : 293.10 = 114.20 : x
  2. Step 2: Convert to fraction form
    195.20/293.10 = 114.20/x
  3. Step 3: Cross multiply
    195.20x = 293.10 × 114.20
  4. Step 4: Simplify right side
    195.20x = 33,472.02
  5. Step 5: Solve for x
    x = 33,472.02/195.20
  6. Step 6: Final answer
    x = 171.48

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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.