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Finding the Fourth Proportional to 146.88, 221.40 and 133.92

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Solution

The fourth proportional to 146.88, 221.40 and 133.92 is: 201.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.88 : 221.40 = 133.92 : x
  2. Step 2: Convert to fraction form
    146.88/221.40 = 133.92/x
  3. Step 3: Cross multiply
    146.88x = 221.40 × 133.92
  4. Step 4: Simplify right side
    146.88x = 29,649.89
  5. Step 5: Solve for x
    x = 29,649.89/146.88
  6. Step 6: Final answer
    x = 201.86

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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.