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Finding the Fourth Proportional to 146.82, 221.40 and 144.09

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Solution

The fourth proportional to 146.82, 221.40 and 144.09 is: 217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.82 : 221.40 = 144.09 : x
  2. Step 2: Convert to fraction form
    146.82/221.40 = 144.09/x
  3. Step 3: Cross multiply
    146.82x = 221.40 × 144.09
  4. Step 4: Simplify right side
    146.82x = 31,901.53
  5. Step 5: Solve for x
    x = 31,901.53/146.82
  6. Step 6: Final answer
    x = 217.28

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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.