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Finding the Fourth Proportional to 394.89, 590.91 and 279.46

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Solution

The fourth proportional to 394.89, 590.91 and 279.46 is: 418.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.89 : 590.91 = 279.46 : x
  2. Step 2: Convert to fraction form
    394.89/590.91 = 279.46/x
  3. Step 3: Cross multiply
    394.89x = 590.91 × 279.46
  4. Step 4: Simplify right side
    394.89x = 165,135.71
  5. Step 5: Solve for x
    x = 165,135.71/394.89
  6. Step 6: Final answer
    x = 418.18

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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.