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Finding the Fourth Proportional to 120.41, 181.33 and 105.37

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Solution

The fourth proportional to 120.41, 181.33 and 105.37 is: 158.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.41 : 181.33 = 105.37 : x
  2. Step 2: Convert to fraction form
    120.41/181.33 = 105.37/x
  3. Step 3: Cross multiply
    120.41x = 181.33 × 105.37
  4. Step 4: Simplify right side
    120.41x = 19,106.74
  5. Step 5: Solve for x
    x = 19,106.74/120.41
  6. Step 6: Final answer
    x = 158.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.