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Finding the Fourth Proportional to 144.61, 199.42 and 100.28

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Solution

The fourth proportional to 144.61, 199.42 and 100.28 is: 138.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.61 : 199.42 = 100.28 : x
  2. Step 2: Convert to fraction form
    144.61/199.42 = 100.28/x
  3. Step 3: Cross multiply
    144.61x = 199.42 × 100.28
  4. Step 4: Simplify right side
    144.61x = 19,998.09
  5. Step 5: Solve for x
    x = 19,998.09/144.61
  6. Step 6: Final answer
    x = 138.29

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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.