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Finding the Fourth Proportional to 193.45, 289.92 and 106.66

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Solution

The fourth proportional to 193.45, 289.92 and 106.66 is: 159.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.45 : 289.92 = 106.66 : x
  2. Step 2: Convert to fraction form
    193.45/289.92 = 106.66/x
  3. Step 3: Cross multiply
    193.45x = 289.92 × 106.66
  4. Step 4: Simplify right side
    193.45x = 30,921.07
  5. Step 5: Solve for x
    x = 30,921.07/193.45
  6. Step 6: Final answer
    x = 159.84

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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.