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Finding the Fourth Proportional to 109.89, 150.54 and 105.78

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Solution

The fourth proportional to 109.89, 150.54 and 105.78 is: 144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.89 : 150.54 = 105.78 : x
  2. Step 2: Convert to fraction form
    109.89/150.54 = 105.78/x
  3. Step 3: Cross multiply
    109.89x = 150.54 × 105.78
  4. Step 4: Simplify right side
    109.89x = 15,924.12
  5. Step 5: Solve for x
    x = 15,924.12/109.89
  6. Step 6: Final answer
    x = 144.91

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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.