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Finding the Fourth Proportional to 195.35, 294.10 and 163.08

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Solution

The fourth proportional to 195.35, 294.10 and 163.08 is: 245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.35 : 294.10 = 163.08 : x
  2. Step 2: Convert to fraction form
    195.35/294.10 = 163.08/x
  3. Step 3: Cross multiply
    195.35x = 294.10 × 163.08
  4. Step 4: Simplify right side
    195.35x = 47,961.42
  5. Step 5: Solve for x
    x = 47,961.42/195.35
  6. Step 6: Final answer
    x = 245.52

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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.