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Finding the Fourth Proportional to 220.80, 304.62 and 137.82

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Solution

The fourth proportional to 220.80, 304.62 and 137.82 is: 190.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.80 : 304.62 = 137.82 : x
  2. Step 2: Convert to fraction form
    220.80/304.62 = 137.82/x
  3. Step 3: Cross multiply
    220.80x = 304.62 × 137.82
  4. Step 4: Simplify right side
    220.80x = 41,982.73
  5. Step 5: Solve for x
    x = 41,982.73/220.80
  6. Step 6: Final answer
    x = 190.14

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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.