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Finding the Fourth Proportional to 193.66, 289.09 and 165.94

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Solution

The fourth proportional to 193.66, 289.09 and 165.94 is: 247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.66 : 289.09 = 165.94 : x
  2. Step 2: Convert to fraction form
    193.66/289.09 = 165.94/x
  3. Step 3: Cross multiply
    193.66x = 289.09 × 165.94
  4. Step 4: Simplify right side
    193.66x = 47,971.55
  5. Step 5: Solve for x
    x = 47,971.55/193.66
  6. Step 6: Final answer
    x = 247.71

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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.