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Finding the Fourth Proportional to 353.15, 528.85 and 255.48

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Solution

The fourth proportional to 353.15, 528.85 and 255.48 is: 382.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.15 : 528.85 = 255.48 : x
  2. Step 2: Convert to fraction form
    353.15/528.85 = 255.48/x
  3. Step 3: Cross multiply
    353.15x = 528.85 × 255.48
  4. Step 4: Simplify right side
    353.15x = 135,110.92
  5. Step 5: Solve for x
    x = 135,110.92/353.15
  6. Step 6: Final answer
    x = 382.59

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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.