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Finding the Fourth Proportional to 146.39, 218.71 and 120.41

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Solution

The fourth proportional to 146.39, 218.71 and 120.41 is: 179.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.39 : 218.71 = 120.41 : x
  2. Step 2: Convert to fraction form
    146.39/218.71 = 120.41/x
  3. Step 3: Cross multiply
    146.39x = 218.71 × 120.41
  4. Step 4: Simplify right side
    146.39x = 26,334.75
  5. Step 5: Solve for x
    x = 26,334.75/146.39
  6. Step 6: Final answer
    x = 179.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.