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Finding the Fourth Proportional to 193.46, 288.97 and 164.43

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Solution

The fourth proportional to 193.46, 288.97 and 164.43 is: 245.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.46 : 288.97 = 164.43 : x
  2. Step 2: Convert to fraction form
    193.46/288.97 = 164.43/x
  3. Step 3: Cross multiply
    193.46x = 288.97 × 164.43
  4. Step 4: Simplify right side
    193.46x = 47,514.93
  5. Step 5: Solve for x
    x = 47,514.93/193.46
  6. Step 6: Final answer
    x = 245.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.