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Finding the Fourth Proportional to 528.26, 792.13 and 163.00

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Solution

The fourth proportional to 528.26, 792.13 and 163.00 is: 244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.26 : 792.13 = 163.00 : x
  2. Step 2: Convert to fraction form
    528.26/792.13 = 163.00/x
  3. Step 3: Cross multiply
    528.26x = 792.13 × 163.00
  4. Step 4: Simplify right side
    528.26x = 129,119.56
  5. Step 5: Solve for x
    x = 129,119.56/528.26
  6. Step 6: Final answer
    x = 244.42

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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.