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Finding the Fourth Proportional to 385.20, 574.52 and 371.43

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Solution

The fourth proportional to 385.20, 574.52 and 371.43 is: 553.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.20 : 574.52 = 371.43 : x
  2. Step 2: Convert to fraction form
    385.20/574.52 = 371.43/x
  3. Step 3: Cross multiply
    385.20x = 574.52 × 371.43
  4. Step 4: Simplify right side
    385.20x = 213,392.11
  5. Step 5: Solve for x
    x = 213,392.11/385.20
  6. Step 6: Final answer
    x = 553.98

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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.