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Finding the Fourth Proportional to 395.60, 592.43 and 279.49

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Solution

The fourth proportional to 395.60, 592.43 and 279.49 is: 418.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.60 : 592.43 = 279.49 : x
  2. Step 2: Convert to fraction form
    395.60/592.43 = 279.49/x
  3. Step 3: Cross multiply
    395.60x = 592.43 × 279.49
  4. Step 4: Simplify right side
    395.60x = 165,576.05
  5. Step 5: Solve for x
    x = 165,576.05/395.60
  6. Step 6: Final answer
    x = 418.55

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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.