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Finding the Fourth Proportional to 279.43, 419.24 and 169.96

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Solution

The fourth proportional to 279.43, 419.24 and 169.96 is: 255.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.43 : 419.24 = 169.96 : x
  2. Step 2: Convert to fraction form
    279.43/419.24 = 169.96/x
  3. Step 3: Cross multiply
    279.43x = 419.24 × 169.96
  4. Step 4: Simplify right side
    279.43x = 71,253.18
  5. Step 5: Solve for x
    x = 71,253.18/279.43
  6. Step 6: Final answer
    x = 255.00

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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.