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Finding the Fourth Proportional to 220.87, 304.81 and 137.98

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Solution

The fourth proportional to 220.87, 304.81 and 137.98 is: 190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.87 : 304.81 = 137.98 : x
  2. Step 2: Convert to fraction form
    220.87/304.81 = 137.98/x
  3. Step 3: Cross multiply
    220.87x = 304.81 × 137.98
  4. Step 4: Simplify right side
    220.87x = 42,057.72
  5. Step 5: Solve for x
    x = 42,057.72/220.87
  6. Step 6: Final answer
    x = 190.42

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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.