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Finding the Fourth Proportional to 195.75, 294.30 and 104.64

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Solution

The fourth proportional to 195.75, 294.30 and 104.64 is: 157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.75 : 294.30 = 104.64 : x
  2. Step 2: Convert to fraction form
    195.75/294.30 = 104.64/x
  3. Step 3: Cross multiply
    195.75x = 294.30 × 104.64
  4. Step 4: Simplify right side
    195.75x = 30,795.55
  5. Step 5: Solve for x
    x = 30,795.55/195.75
  6. Step 6: Final answer
    x = 157.32

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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.