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Finding the Fourth Proportional to 283.82, 391.10 and 235.04

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Solution

The fourth proportional to 283.82, 391.10 and 235.04 is: 323.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.82 : 391.10 = 235.04 : x
  2. Step 2: Convert to fraction form
    283.82/391.10 = 235.04/x
  3. Step 3: Cross multiply
    283.82x = 391.10 × 235.04
  4. Step 4: Simplify right side
    283.82x = 91,924.14
  5. Step 5: Solve for x
    x = 91,924.14/283.82
  6. Step 6: Final answer
    x = 323.88

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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.