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Finding the Fourth Proportional to 146.48, 220.72 and 121.37

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Solution

The fourth proportional to 146.48, 220.72 and 121.37 is: 182.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.48 : 220.72 = 121.37 : x
  2. Step 2: Convert to fraction form
    146.48/220.72 = 121.37/x
  3. Step 3: Cross multiply
    146.48x = 220.72 × 121.37
  4. Step 4: Simplify right side
    146.48x = 26,787.68
  5. Step 5: Solve for x
    x = 26,787.68/146.48
  6. Step 6: Final answer
    x = 182.88

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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.