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Finding the Fourth Proportional to 391.43, 586.78 and 185.90

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Solution

The fourth proportional to 391.43, 586.78 and 185.90 is: 278.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.43 : 586.78 = 185.90 : x
  2. Step 2: Convert to fraction form
    391.43/586.78 = 185.90/x
  3. Step 3: Cross multiply
    391.43x = 586.78 × 185.90
  4. Step 4: Simplify right side
    391.43x = 109,079.00
  5. Step 5: Solve for x
    x = 109,079.00/391.43
  6. Step 6: Final answer
    x = 278.67

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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.