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Finding the Fourth Proportional to 146.54, 220.61 and 133.79

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Solution

The fourth proportional to 146.54, 220.61 and 133.79 is: 201.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.54 : 220.61 = 133.79 : x
  2. Step 2: Convert to fraction form
    146.54/220.61 = 133.79/x
  3. Step 3: Cross multiply
    146.54x = 220.61 × 133.79
  4. Step 4: Simplify right side
    146.54x = 29,513.64
  5. Step 5: Solve for x
    x = 29,513.64/146.54
  6. Step 6: Final answer
    x = 201.41

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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.