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Finding the Fourth Proportional to 279.09, 415.83 and 268.62

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Solution

The fourth proportional to 279.09, 415.83 and 268.62 is: 400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.09 : 415.83 = 268.62 : x
  2. Step 2: Convert to fraction form
    279.09/415.83 = 268.62/x
  3. Step 3: Cross multiply
    279.09x = 415.83 × 268.62
  4. Step 4: Simplify right side
    279.09x = 111,700.25
  5. Step 5: Solve for x
    x = 111,700.25/279.09
  6. Step 6: Final answer
    x = 400.23

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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.