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Finding the Fourth Proportional to 193.10, 289.38 and 106.47

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Solution

The fourth proportional to 193.10, 289.38 and 106.47 is: 159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.10 : 289.38 = 106.47 : x
  2. Step 2: Convert to fraction form
    193.10/289.38 = 106.47/x
  3. Step 3: Cross multiply
    193.10x = 289.38 × 106.47
  4. Step 4: Simplify right side
    193.10x = 30,811.28
  5. Step 5: Solve for x
    x = 30,811.28/193.10
  6. Step 6: Final answer
    x = 159.56

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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.