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Finding the Fourth Proportional to 322, 441.64 and 283.12

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Solution

The fourth proportional to 322, 441.64 and 283.12 is: 388.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    322 : 441.64 = 283.12 : x
  2. Step 2: Convert to fraction form
    322/441.64 = 283.12/x
  3. Step 3: Cross multiply
    322x = 441.64 × 283.12
  4. Step 4: Simplify right side
    322x = 125,037.12
  5. Step 5: Solve for x
    x = 125,037.12/322
  6. Step 6: Final answer
    x = 388.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.