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Finding the Fourth Proportional to 511.82, 767.96 and 280.88

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Solution

The fourth proportional to 511.82, 767.96 and 280.88 is: 421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.82 : 767.96 = 280.88 : x
  2. Step 2: Convert to fraction form
    511.82/767.96 = 280.88/x
  3. Step 3: Cross multiply
    511.82x = 767.96 × 280.88
  4. Step 4: Simplify right side
    511.82x = 215,699.36
  5. Step 5: Solve for x
    x = 215,699.36/511.82
  6. Step 6: Final answer
    x = 421.44

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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.