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Finding the Fourth Proportional to 146.42, 220.63 and 121.29

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Solution

The fourth proportional to 146.42, 220.63 and 121.29 is: 182.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.42 : 220.63 = 121.29 : x
  2. Step 2: Convert to fraction form
    146.42/220.63 = 121.29/x
  3. Step 3: Cross multiply
    146.42x = 220.63 × 121.29
  4. Step 4: Simplify right side
    146.42x = 26,760.21
  5. Step 5: Solve for x
    x = 26,760.21/146.42
  6. Step 6: Final answer
    x = 182.76

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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.