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Finding the Fourth Proportional to 174.09, 260.76 and 109.11

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Solution

The fourth proportional to 174.09, 260.76 and 109.11 is: 163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.09 : 260.76 = 109.11 : x
  2. Step 2: Convert to fraction form
    174.09/260.76 = 109.11/x
  3. Step 3: Cross multiply
    174.09x = 260.76 × 109.11
  4. Step 4: Simplify right side
    174.09x = 28,451.52
  5. Step 5: Solve for x
    x = 28,451.52/174.09
  6. Step 6: Final answer
    x = 163.43

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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.