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Finding the Fourth Proportional to 385.28, 576.90 and 324.26

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Solution

The fourth proportional to 385.28, 576.90 and 324.26 is: 485.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.28 : 576.90 = 324.26 : x
  2. Step 2: Convert to fraction form
    385.28/576.90 = 324.26/x
  3. Step 3: Cross multiply
    385.28x = 576.90 × 324.26
  4. Step 4: Simplify right side
    385.28x = 187,065.59
  5. Step 5: Solve for x
    x = 187,065.59/385.28
  6. Step 6: Final answer
    x = 485.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.