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Finding the Fourth Proportional to 109.48, 149.78 and 107.60

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Solution

The fourth proportional to 109.48, 149.78 and 107.60 is: 147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.48 : 149.78 = 107.60 : x
  2. Step 2: Convert to fraction form
    109.48/149.78 = 107.60/x
  3. Step 3: Cross multiply
    109.48x = 149.78 × 107.60
  4. Step 4: Simplify right side
    109.48x = 16,116.33
  5. Step 5: Solve for x
    x = 16,116.33/109.48
  6. Step 6: Final answer
    x = 147.21

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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.