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Finding the Fourth Proportional to 146.82, 220.62 and 138.62

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Solution

The fourth proportional to 146.82, 220.62 and 138.62 is: 208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.82 : 220.62 = 138.62 : x
  2. Step 2: Convert to fraction form
    146.82/220.62 = 138.62/x
  3. Step 3: Cross multiply
    146.82x = 220.62 × 138.62
  4. Step 4: Simplify right side
    146.82x = 30,582.34
  5. Step 5: Solve for x
    x = 30,582.34/146.82
  6. Step 6: Final answer
    x = 208.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.