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Finding the Fourth Proportional to 391.16, 585.12 and 298.82

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Solution

The fourth proportional to 391.16, 585.12 and 298.82 is: 446.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.16 : 585.12 = 298.82 : x
  2. Step 2: Convert to fraction form
    391.16/585.12 = 298.82/x
  3. Step 3: Cross multiply
    391.16x = 585.12 × 298.82
  4. Step 4: Simplify right side
    391.16x = 174,845.56
  5. Step 5: Solve for x
    x = 174,845.56/391.16
  6. Step 6: Final answer
    x = 446.99

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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.