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Finding the Fourth Proportional to 270.84, 376.41 and 267.96

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Solution

The fourth proportional to 270.84, 376.41 and 267.96 is: 372.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.84 : 376.41 = 267.96 : x
  2. Step 2: Convert to fraction form
    270.84/376.41 = 267.96/x
  3. Step 3: Cross multiply
    270.84x = 376.41 × 267.96
  4. Step 4: Simplify right side
    270.84x = 100,862.82
  5. Step 5: Solve for x
    x = 100,862.82/270.84
  6. Step 6: Final answer
    x = 372.41

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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.