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Finding the Fourth Proportional to 352.80, 487.20 and 323.52

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Solution

The fourth proportional to 352.80, 487.20 and 323.52 is: 446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.80 : 487.20 = 323.52 : x
  2. Step 2: Convert to fraction form
    352.80/487.20 = 323.52/x
  3. Step 3: Cross multiply
    352.80x = 487.20 × 323.52
  4. Step 4: Simplify right side
    352.80x = 157,618.94
  5. Step 5: Solve for x
    x = 157,618.94/352.80
  6. Step 6: Final answer
    x = 446.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.