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Finding the Fourth Proportional to 391.43, 586.73 and 185.84

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Solution

The fourth proportional to 391.43, 586.73 and 185.84 is: 278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.43 : 586.73 = 185.84 : x
  2. Step 2: Convert to fraction form
    391.43/586.73 = 185.84/x
  3. Step 3: Cross multiply
    391.43x = 586.73 × 185.84
  4. Step 4: Simplify right side
    391.43x = 109,034.04
  5. Step 5: Solve for x
    x = 109,034.04/391.43
  6. Step 6: Final answer
    x = 278.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.