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Finding the Fourth Proportional to 104.19, 142.77 and 100.41

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Solution

The fourth proportional to 104.19, 142.77 and 100.41 is: 137.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.19 : 142.77 = 100.41 : x
  2. Step 2: Convert to fraction form
    104.19/142.77 = 100.41/x
  3. Step 3: Cross multiply
    104.19x = 142.77 × 100.41
  4. Step 4: Simplify right side
    104.19x = 14,335.54
  5. Step 5: Solve for x
    x = 14,335.54/104.19
  6. Step 6: Final answer
    x = 137.59

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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.