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Finding the Fourth Proportional to 146.38, 220.58 and 121.27

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Solution

The fourth proportional to 146.38, 220.58 and 121.27 is: 182.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.38 : 220.58 = 121.27 : x
  2. Step 2: Convert to fraction form
    146.38/220.58 = 121.27/x
  3. Step 3: Cross multiply
    146.38x = 220.58 × 121.27
  4. Step 4: Simplify right side
    146.38x = 26,749.03
  5. Step 5: Solve for x
    x = 26,749.03/146.38
  6. Step 6: Final answer
    x = 182.73

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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.