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Finding the Fourth Proportional to 144.49, 199.27 and 109.03

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Solution

The fourth proportional to 144.49, 199.27 and 109.03 is: 150.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.49 : 199.27 = 109.03 : x
  2. Step 2: Convert to fraction form
    144.49/199.27 = 109.03/x
  3. Step 3: Cross multiply
    144.49x = 199.27 × 109.03
  4. Step 4: Simplify right side
    144.49x = 21,726.41
  5. Step 5: Solve for x
    x = 21,726.41/144.49
  6. Step 6: Final answer
    x = 150.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.