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Finding the Fourth Proportional to 146.27, 220.41 and 121.15

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Solution

The fourth proportional to 146.27, 220.41 and 121.15 is: 182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.27 : 220.41 = 121.15 : x
  2. Step 2: Convert to fraction form
    146.27/220.41 = 121.15/x
  3. Step 3: Cross multiply
    146.27x = 220.41 × 121.15
  4. Step 4: Simplify right side
    146.27x = 26,702.07
  5. Step 5: Solve for x
    x = 26,702.07/146.27
  6. Step 6: Final answer
    x = 182.56

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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.