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Finding the Fourth Proportional to 272.30, 378.41 and 268.85

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Solution

The fourth proportional to 272.30, 378.41 and 268.85 is: 373.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.30 : 378.41 = 268.85 : x
  2. Step 2: Convert to fraction form
    272.30/378.41 = 268.85/x
  3. Step 3: Cross multiply
    272.30x = 378.41 × 268.85
  4. Step 4: Simplify right side
    272.30x = 101,735.13
  5. Step 5: Solve for x
    x = 101,735.13/272.30
  6. Step 6: Final answer
    x = 373.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.