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Finding the Fourth Proportional to 486.91, 729.97 and 243.29

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Solution

The fourth proportional to 486.91, 729.97 and 243.29 is: 364.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.91 : 729.97 = 243.29 : x
  2. Step 2: Convert to fraction form
    486.91/729.97 = 243.29/x
  3. Step 3: Cross multiply
    486.91x = 729.97 × 243.29
  4. Step 4: Simplify right side
    486.91x = 177,594.40
  5. Step 5: Solve for x
    x = 177,594.40/486.91
  6. Step 6: Final answer
    x = 364.74

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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.