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Finding the Fourth Proportional to 485.92, 729.16 and 255.02

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Solution

The fourth proportional to 485.92, 729.16 and 255.02 is: 382.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.92 : 729.16 = 255.02 : x
  2. Step 2: Convert to fraction form
    485.92/729.16 = 255.02/x
  3. Step 3: Cross multiply
    485.92x = 729.16 × 255.02
  4. Step 4: Simplify right side
    485.92x = 185,949.75
  5. Step 5: Solve for x
    x = 185,949.75/485.92
  6. Step 6: Final answer
    x = 382.68

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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.