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Finding the Fourth Proportional to 193.21, 289.69 and 164.21

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Solution

The fourth proportional to 193.21, 289.69 and 164.21 is: 246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.21 : 289.69 = 164.21 : x
  2. Step 2: Convert to fraction form
    193.21/289.69 = 164.21/x
  3. Step 3: Cross multiply
    193.21x = 289.69 × 164.21
  4. Step 4: Simplify right side
    193.21x = 47,568.14
  5. Step 5: Solve for x
    x = 47,568.14/193.21
  6. Step 6: Final answer
    x = 246.20

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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.