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Finding the Fourth Proportional to 486.46, 728.51 and 255.54

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Solution

The fourth proportional to 486.46, 728.51 and 255.54 is: 382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.46 : 728.51 = 255.54 : x
  2. Step 2: Convert to fraction form
    486.46/728.51 = 255.54/x
  3. Step 3: Cross multiply
    486.46x = 728.51 × 255.54
  4. Step 4: Simplify right side
    486.46x = 186,164.90
  5. Step 5: Solve for x
    x = 186,164.90/486.46
  6. Step 6: Final answer
    x = 382.69

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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.