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Finding the Fourth Proportional to 109.68, 150.41 and 98.73

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Solution

The fourth proportional to 109.68, 150.41 and 98.73 is: 135.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.68 : 150.41 = 98.73 : x
  2. Step 2: Convert to fraction form
    109.68/150.41 = 98.73/x
  3. Step 3: Cross multiply
    109.68x = 150.41 × 98.73
  4. Step 4: Simplify right side
    109.68x = 14,849.49
  5. Step 5: Solve for x
    x = 14,849.49/109.68
  6. Step 6: Final answer
    x = 135.39

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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.