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Finding the Fourth Proportional to 283.73, 391.97 and 242.71

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Solution

The fourth proportional to 283.73, 391.97 and 242.71 is: 335.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.73 : 391.97 = 242.71 : x
  2. Step 2: Convert to fraction form
    283.73/391.97 = 242.71/x
  3. Step 3: Cross multiply
    283.73x = 391.97 × 242.71
  4. Step 4: Simplify right side
    283.73x = 95,135.04
  5. Step 5: Solve for x
    x = 95,135.04/283.73
  6. Step 6: Final answer
    x = 335.30

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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.