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Finding the Fourth Proportional to 279.09, 417.02 and 273.96

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Solution

The fourth proportional to 279.09, 417.02 and 273.96 is: 409.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.09 : 417.02 = 273.96 : x
  2. Step 2: Convert to fraction form
    279.09/417.02 = 273.96/x
  3. Step 3: Cross multiply
    279.09x = 417.02 × 273.96
  4. Step 4: Simplify right side
    279.09x = 114,245.43
  5. Step 5: Solve for x
    x = 114,245.43/279.09
  6. Step 6: Final answer
    x = 409.35

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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.