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Finding the Fourth Proportional to 493.43, 680.87 and 283.57

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Solution

The fourth proportional to 493.43, 680.87 and 283.57 is: 391.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.43 : 680.87 = 283.57 : x
  2. Step 2: Convert to fraction form
    493.43/680.87 = 283.57/x
  3. Step 3: Cross multiply
    493.43x = 680.87 × 283.57
  4. Step 4: Simplify right side
    493.43x = 193,073.31
  5. Step 5: Solve for x
    x = 193,073.31/493.43
  6. Step 6: Final answer
    x = 391.29

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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.