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Finding the Fourth Proportional to 146.46, 201.96 and 121.49

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Solution

The fourth proportional to 146.46, 201.96 and 121.49 is: 167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.46 : 201.96 = 121.49 : x
  2. Step 2: Convert to fraction form
    146.46/201.96 = 121.49/x
  3. Step 3: Cross multiply
    146.46x = 201.96 × 121.49
  4. Step 4: Simplify right side
    146.46x = 24,536.12
  5. Step 5: Solve for x
    x = 24,536.12/146.46
  6. Step 6: Final answer
    x = 167.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.