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Finding the Fourth Proportional to 283.79, 391.56 and 178.90

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Solution

The fourth proportional to 283.79, 391.56 and 178.90 is: 246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.79 : 391.56 = 178.90 : x
  2. Step 2: Convert to fraction form
    283.79/391.56 = 178.90/x
  3. Step 3: Cross multiply
    283.79x = 391.56 × 178.90
  4. Step 4: Simplify right side
    283.79x = 70,050.08
  5. Step 5: Solve for x
    x = 70,050.08/283.79
  6. Step 6: Final answer
    x = 246.84

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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.