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Finding the Fourth Proportional to 283.79, 391.82 and 185.72

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Solution

The fourth proportional to 283.79, 391.82 and 185.72 is: 256.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.79 : 391.82 = 185.72 : x
  2. Step 2: Convert to fraction form
    283.79/391.82 = 185.72/x
  3. Step 3: Cross multiply
    283.79x = 391.82 × 185.72
  4. Step 4: Simplify right side
    283.79x = 72,765.92
  5. Step 5: Solve for x
    x = 72,765.92/283.79
  6. Step 6: Final answer
    x = 256.41

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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.