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Finding the Fourth Proportional to 511.94, 766.18 and 280.21

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Solution

The fourth proportional to 511.94, 766.18 and 280.21 is: 419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.94 : 766.18 = 280.21 : x
  2. Step 2: Convert to fraction form
    511.94/766.18 = 280.21/x
  3. Step 3: Cross multiply
    511.94x = 766.18 × 280.21
  4. Step 4: Simplify right side
    511.94x = 214,691.30
  5. Step 5: Solve for x
    x = 214,691.30/511.94
  6. Step 6: Final answer
    x = 419.37

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1.5x scale

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.