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Finding the Fourth Proportional to 275.36, 379.84 and 209.92

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Solution

The fourth proportional to 275.36, 379.84 and 209.92 is: 289.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.36 : 379.84 = 209.92 : x
  2. Step 2: Convert to fraction form
    275.36/379.84 = 209.92/x
  3. Step 3: Cross multiply
    275.36x = 379.84 × 209.92
  4. Step 4: Simplify right side
    275.36x = 79,736.01
  5. Step 5: Solve for x
    x = 79,736.01/275.36
  6. Step 6: Final answer
    x = 289.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.