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Finding the Fourth Proportional to 391.24, 586.88 and 185.68

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Solution

The fourth proportional to 391.24, 586.88 and 185.68 is: 278.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.24 : 586.88 = 185.68 : x
  2. Step 2: Convert to fraction form
    391.24/586.88 = 185.68/x
  3. Step 3: Cross multiply
    391.24x = 586.88 × 185.68
  4. Step 4: Simplify right side
    391.24x = 108,971.88
  5. Step 5: Solve for x
    x = 108,971.88/391.24
  6. Step 6: Final answer
    x = 278.53

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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.