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Finding the Fourth Proportional to 385.60, 576.96 and 214.72

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Solution

The fourth proportional to 385.60, 576.96 and 214.72 is: 321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.60 : 576.96 = 214.72 : x
  2. Step 2: Convert to fraction form
    385.60/576.96 = 214.72/x
  3. Step 3: Cross multiply
    385.60x = 576.96 × 214.72
  4. Step 4: Simplify right side
    385.60x = 123,884.85
  5. Step 5: Solve for x
    x = 123,884.85/385.60
  6. Step 6: Final answer
    x = 321.28

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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.