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Finding the Fourth Proportional to 511.31, 766.89 and 280.14

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Solution

The fourth proportional to 511.31, 766.89 and 280.14 is: 420.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.31 : 766.89 = 280.14 : x
  2. Step 2: Convert to fraction form
    511.31/766.89 = 280.14/x
  3. Step 3: Cross multiply
    511.31x = 766.89 × 280.14
  4. Step 4: Simplify right side
    511.31x = 214,836.56
  5. Step 5: Solve for x
    x = 214,836.56/511.31
  6. Step 6: Final answer
    x = 420.17

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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.