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Finding the Fourth Proportional to 146.54, 218.73 and 122.12

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Solution

The fourth proportional to 146.54, 218.73 and 122.12 is: 182.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.54 : 218.73 = 122.12 : x
  2. Step 2: Convert to fraction form
    146.54/218.73 = 122.12/x
  3. Step 3: Cross multiply
    146.54x = 218.73 × 122.12
  4. Step 4: Simplify right side
    146.54x = 26,711.31
  5. Step 5: Solve for x
    x = 26,711.31/146.54
  6. Step 6: Final answer
    x = 182.28

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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.