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Finding the Fourth Proportional to 385.20, 574.65 and 331.20

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Solution

The fourth proportional to 385.20, 574.65 and 331.20 is: 494.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.20 : 574.65 = 331.20 : x
  2. Step 2: Convert to fraction form
    385.20/574.65 = 331.20/x
  3. Step 3: Cross multiply
    385.20x = 574.65 × 331.20
  4. Step 4: Simplify right side
    385.20x = 190,324.08
  5. Step 5: Solve for x
    x = 190,324.08/385.20
  6. Step 6: Final answer
    x = 494.09

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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.