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Finding the Fourth Proportional to 279.14, 415.79 and 269.10

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Solution

The fourth proportional to 279.14, 415.79 and 269.10 is: 400.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.14 : 415.79 = 269.10 : x
  2. Step 2: Convert to fraction form
    279.14/415.79 = 269.10/x
  3. Step 3: Cross multiply
    279.14x = 415.79 × 269.10
  4. Step 4: Simplify right side
    279.14x = 111,887.74
  5. Step 5: Solve for x
    x = 111,887.74/279.14
  6. Step 6: Final answer
    x = 400.84

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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.