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Finding the Fourth Proportional to 511.08, 765.90 and 294.21

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Solution

The fourth proportional to 511.08, 765.90 and 294.21 is: 440.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.08 : 765.90 = 294.21 : x
  2. Step 2: Convert to fraction form
    511.08/765.90 = 294.21/x
  3. Step 3: Cross multiply
    511.08x = 765.90 × 294.21
  4. Step 4: Simplify right side
    511.08x = 225,335.44
  5. Step 5: Solve for x
    x = 225,335.44/511.08
  6. Step 6: Final answer
    x = 440.90

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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.