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Finding the Fourth Proportional to 220.46, 331.90 and 190.69

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Solution

The fourth proportional to 220.46, 331.90 and 190.69 is: 287.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.46 : 331.90 = 190.69 : x
  2. Step 2: Convert to fraction form
    220.46/331.90 = 190.69/x
  3. Step 3: Cross multiply
    220.46x = 331.90 × 190.69
  4. Step 4: Simplify right side
    220.46x = 63,288.70
  5. Step 5: Solve for x
    x = 63,288.70/220.46
  6. Step 6: Final answer
    x = 287.08

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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.