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Finding the Fourth Proportional to 109.80, 150.66 and 104.68

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Solution

The fourth proportional to 109.80, 150.66 and 104.68 is: 143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.80 : 150.66 = 104.68 : x
  2. Step 2: Convert to fraction form
    109.80/150.66 = 104.68/x
  3. Step 3: Cross multiply
    109.80x = 150.66 × 104.68
  4. Step 4: Simplify right side
    109.80x = 15,771.09
  5. Step 5: Solve for x
    x = 15,771.09/109.80
  6. Step 6: Final answer
    x = 143.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.