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Finding the Fourth Proportional to 395.96, 546.21 and 254.21

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Solution

The fourth proportional to 395.96, 546.21 and 254.21 is: 350.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.96 : 546.21 = 254.21 : x
  2. Step 2: Convert to fraction form
    395.96/546.21 = 254.21/x
  3. Step 3: Cross multiply
    395.96x = 546.21 × 254.21
  4. Step 4: Simplify right side
    395.96x = 138,849.31
  5. Step 5: Solve for x
    x = 138,849.31/395.96
  6. Step 6: Final answer
    x = 350.67

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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.