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Finding the Fourth Proportional to 270.32, 402.96 and 254.64

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Solution

The fourth proportional to 270.32, 402.96 and 254.64 is: 379.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.32 : 402.96 = 254.64 : x
  2. Step 2: Convert to fraction form
    270.32/402.96 = 254.64/x
  3. Step 3: Cross multiply
    270.32x = 402.96 × 254.64
  4. Step 4: Simplify right side
    270.32x = 102,609.73
  5. Step 5: Solve for x
    x = 102,609.73/270.32
  6. Step 6: Final answer
    x = 379.59

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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.