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Finding the Fourth Proportional to 254.59, 382.73 and 209.27

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Solution

The fourth proportional to 254.59, 382.73 and 209.27 is: 314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.59 : 382.73 = 209.27 : x
  2. Step 2: Convert to fraction form
    254.59/382.73 = 209.27/x
  3. Step 3: Cross multiply
    254.59x = 382.73 × 209.27
  4. Step 4: Simplify right side
    254.59x = 80,093.82
  5. Step 5: Solve for x
    x = 80,093.82/254.59
  6. Step 6: Final answer
    x = 314.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.