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Finding the Fourth Proportional to 486.06, 729.36 and 269.88

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Solution

The fourth proportional to 486.06, 729.36 and 269.88 is: 404.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.06 : 729.36 = 269.88 : x
  2. Step 2: Convert to fraction form
    486.06/729.36 = 269.88/x
  3. Step 3: Cross multiply
    486.06x = 729.36 × 269.88
  4. Step 4: Simplify right side
    486.06x = 196,839.68
  5. Step 5: Solve for x
    x = 196,839.68/486.06
  6. Step 6: Final answer
    x = 404.97

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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.