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Finding the Fourth Proportional to 385.10, 529.38 and 331.73

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Solution

The fourth proportional to 385.10, 529.38 and 331.73 is: 456.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.10 : 529.38 = 331.73 : x
  2. Step 2: Convert to fraction form
    385.10/529.38 = 331.73/x
  3. Step 3: Cross multiply
    385.10x = 529.38 × 331.73
  4. Step 4: Simplify right side
    385.10x = 175,608.58
  5. Step 5: Solve for x
    x = 175,608.58/385.10
  6. Step 6: Final answer
    x = 456.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.