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Finding the Fourth Proportional to 109.80, 150.39 and 109.08

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Solution

The fourth proportional to 109.80, 150.39 and 109.08 is: 149.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.80 : 150.39 = 109.08 : x
  2. Step 2: Convert to fraction form
    109.80/150.39 = 109.08/x
  3. Step 3: Cross multiply
    109.80x = 150.39 × 109.08
  4. Step 4: Simplify right side
    109.80x = 16,404.54
  5. Step 5: Solve for x
    x = 16,404.54/109.80
  6. Step 6: Final answer
    x = 149.40

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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.