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Finding the Fourth Proportional to 385.97, 574.90 and 381.44

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Solution

The fourth proportional to 385.97, 574.90 and 381.44 is: 568.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.97 : 574.90 = 381.44 : x
  2. Step 2: Convert to fraction form
    385.97/574.90 = 381.44/x
  3. Step 3: Cross multiply
    385.97x = 574.90 × 381.44
  4. Step 4: Simplify right side
    385.97x = 219,290.34
  5. Step 5: Solve for x
    x = 219,290.34/385.97
  6. Step 6: Final answer
    x = 568.16

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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.