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Finding the Fourth Proportional to 283.80, 391.70 and 178.80

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Solution

The fourth proportional to 283.80, 391.70 and 178.80 is: 246.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.80 : 391.70 = 178.80 : x
  2. Step 2: Convert to fraction form
    283.80/391.70 = 178.80/x
  3. Step 3: Cross multiply
    283.80x = 391.70 × 178.80
  4. Step 4: Simplify right side
    283.80x = 70,035.96
  5. Step 5: Solve for x
    x = 70,035.96/283.80
  6. Step 6: Final answer
    x = 246.78

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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.