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Finding the Fourth Proportional to 220.83, 331.33 and 202.89

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Solution

The fourth proportional to 220.83, 331.33 and 202.89 is: 304.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.83 : 331.33 = 202.89 : x
  2. Step 2: Convert to fraction form
    220.83/331.33 = 202.89/x
  3. Step 3: Cross multiply
    220.83x = 331.33 × 202.89
  4. Step 4: Simplify right side
    220.83x = 67,224.05
  5. Step 5: Solve for x
    x = 67,224.05/220.83
  6. Step 6: Final answer
    x = 304.42

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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.