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Finding the Fourth Proportional to 383.26, 575.07 and 221.02

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Solution

The fourth proportional to 383.26, 575.07 and 221.02 is: 331.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.26 : 575.07 = 221.02 : x
  2. Step 2: Convert to fraction form
    383.26/575.07 = 221.02/x
  3. Step 3: Cross multiply
    383.26x = 575.07 × 221.02
  4. Step 4: Simplify right side
    383.26x = 127,101.97
  5. Step 5: Solve for x
    x = 127,101.97/383.26
  6. Step 6: Final answer
    x = 331.63

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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.