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Finding the Fourth Proportional to 270.57, 375.89 and 268.04

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Solution

The fourth proportional to 270.57, 375.89 and 268.04 is: 372.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.57 : 375.89 = 268.04 : x
  2. Step 2: Convert to fraction form
    270.57/375.89 = 268.04/x
  3. Step 3: Cross multiply
    270.57x = 375.89 × 268.04
  4. Step 4: Simplify right side
    270.57x = 100,753.56
  5. Step 5: Solve for x
    x = 100,753.56/270.57
  6. Step 6: Final answer
    x = 372.38

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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.