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Finding the Fourth Proportional to 283.32, 391.20 and 185.13

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Solution

The fourth proportional to 283.32, 391.20 and 185.13 is: 255.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.32 : 391.20 = 185.13 : x
  2. Step 2: Convert to fraction form
    283.32/391.20 = 185.13/x
  3. Step 3: Cross multiply
    283.32x = 391.20 × 185.13
  4. Step 4: Simplify right side
    283.32x = 72,422.86
  5. Step 5: Solve for x
    x = 72,422.86/283.32
  6. Step 6: Final answer
    x = 255.62

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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.