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Finding the Fourth Proportional to 385.17, 580.54 and 331.71

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Solution

The fourth proportional to 385.17, 580.54 and 331.71 is: 499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.17 : 580.54 = 331.71 : x
  2. Step 2: Convert to fraction form
    385.17/580.54 = 331.71/x
  3. Step 3: Cross multiply
    385.17x = 580.54 × 331.71
  4. Step 4: Simplify right side
    385.17x = 192,570.09
  5. Step 5: Solve for x
    x = 192,570.09/385.17
  6. Step 6: Final answer
    x = 499.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.