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Finding the Fourth Proportional to 382.21, 572.89 and 151.06

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Solution

The fourth proportional to 382.21, 572.89 and 151.06 is: 226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.21 : 572.89 = 151.06 : x
  2. Step 2: Convert to fraction form
    382.21/572.89 = 151.06/x
  3. Step 3: Cross multiply
    382.21x = 572.89 × 151.06
  4. Step 4: Simplify right side
    382.21x = 86,540.01
  5. Step 5: Solve for x
    x = 86,540.01/382.21
  6. Step 6: Final answer
    x = 226.42

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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.