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Finding the Fourth Proportional to 382.11, 570.42 and 369.25

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Solution

The fourth proportional to 382.11, 570.42 and 369.25 is: 551.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.11 : 570.42 = 369.25 : x
  2. Step 2: Convert to fraction form
    382.11/570.42 = 369.25/x
  3. Step 3: Cross multiply
    382.11x = 570.42 × 369.25
  4. Step 4: Simplify right side
    382.11x = 210,627.59
  5. Step 5: Solve for x
    x = 210,627.59/382.11
  6. Step 6: Final answer
    x = 551.22

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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.