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Finding the Fourth Proportional to 486.56, 729.09 and 270.29

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Solution

The fourth proportional to 486.56, 729.09 and 270.29 is: 405.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.56 : 729.09 = 270.29 : x
  2. Step 2: Convert to fraction form
    486.56/729.09 = 270.29/x
  3. Step 3: Cross multiply
    486.56x = 729.09 × 270.29
  4. Step 4: Simplify right side
    486.56x = 197,067.56
  5. Step 5: Solve for x
    x = 197,067.56/486.56
  6. Step 6: Final answer
    x = 405.02

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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.