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Finding the Fourth Proportional to 193.23, 289.77 and 100.59

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Solution

The fourth proportional to 193.23, 289.77 and 100.59 is: 150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.23 : 289.77 = 100.59 : x
  2. Step 2: Convert to fraction form
    193.23/289.77 = 100.59/x
  3. Step 3: Cross multiply
    193.23x = 289.77 × 100.59
  4. Step 4: Simplify right side
    193.23x = 29,147.96
  5. Step 5: Solve for x
    x = 29,147.96/193.23
  6. Step 6: Final answer
    x = 150.85

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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.