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Finding the Fourth Proportional to 528.82, 792.37 and 181.97

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Solution

The fourth proportional to 528.82, 792.37 and 181.97 is: 272.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.82 : 792.37 = 181.97 : x
  2. Step 2: Convert to fraction form
    528.82/792.37 = 181.97/x
  3. Step 3: Cross multiply
    528.82x = 792.37 × 181.97
  4. Step 4: Simplify right side
    528.82x = 144,187.57
  5. Step 5: Solve for x
    x = 144,187.57/528.82
  6. Step 6: Final answer
    x = 272.66

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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.