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Finding the Fourth Proportional to 528.23, 791.79 and 181.28

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Solution

The fourth proportional to 528.23, 791.79 and 181.28 is: 271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.23 : 791.79 = 181.28 : x
  2. Step 2: Convert to fraction form
    528.23/791.79 = 181.28/x
  3. Step 3: Cross multiply
    528.23x = 791.79 × 181.28
  4. Step 4: Simplify right side
    528.23x = 143,531.73
  5. Step 5: Solve for x
    x = 143,531.73/528.23
  6. Step 6: Final answer
    x = 271.72

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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.