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Finding the Fourth Proportional to 391.07, 584.54 and 298.80

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Solution

The fourth proportional to 391.07, 584.54 and 298.80 is: 446.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.07 : 584.54 = 298.80 : x
  2. Step 2: Convert to fraction form
    391.07/584.54 = 298.80/x
  3. Step 3: Cross multiply
    391.07x = 584.54 × 298.80
  4. Step 4: Simplify right side
    391.07x = 174,659.06
  5. Step 5: Solve for x
    x = 174,659.06/391.07
  6. Step 6: Final answer
    x = 446.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.