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Finding the Fourth Proportional to 223.42, 333.41 and 190.90

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Solution

The fourth proportional to 223.42, 333.41 and 190.90 is: 284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.42 : 333.41 = 190.90 : x
  2. Step 2: Convert to fraction form
    223.42/333.41 = 190.90/x
  3. Step 3: Cross multiply
    223.42x = 333.41 × 190.90
  4. Step 4: Simplify right side
    223.42x = 63,647.97
  5. Step 5: Solve for x
    x = 63,647.97/223.42
  6. Step 6: Final answer
    x = 284.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.