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Finding the Fourth Proportional to 193.02, 289.42 and 71.21

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Solution

The fourth proportional to 193.02, 289.42 and 71.21 is: 106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.02 : 289.42 = 71.21 : x
  2. Step 2: Convert to fraction form
    193.02/289.42 = 71.21/x
  3. Step 3: Cross multiply
    193.02x = 289.42 × 71.21
  4. Step 4: Simplify right side
    193.02x = 20,610.14
  5. Step 5: Solve for x
    x = 20,610.14/193.02
  6. Step 6: Final answer
    x = 106.78

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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.