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Finding the Fourth Proportional to 146.35, 220.54 and 121.24

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Solution

The fourth proportional to 146.35, 220.54 and 121.24 is: 182.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.35 : 220.54 = 121.24 : x
  2. Step 2: Convert to fraction form
    146.35/220.54 = 121.24/x
  3. Step 3: Cross multiply
    146.35x = 220.54 × 121.24
  4. Step 4: Simplify right side
    146.35x = 26,736.56
  5. Step 5: Solve for x
    x = 26,736.56/146.35
  6. Step 6: Final answer
    x = 182.69

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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.