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Finding the Fourth Proportional to 385.52, 580.36 and 352.04

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Solution

The fourth proportional to 385.52, 580.36 and 352.04 is: 529.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.52 : 580.36 = 352.04 : x
  2. Step 2: Convert to fraction form
    385.52/580.36 = 352.04/x
  3. Step 3: Cross multiply
    385.52x = 580.36 × 352.04
  4. Step 4: Simplify right side
    385.52x = 204,309.93
  5. Step 5: Solve for x
    x = 204,309.93/385.52
  6. Step 6: Final answer
    x = 529.96

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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.