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Finding the Fourth Proportional to 484.20, 727.11 and 264.69

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Solution

The fourth proportional to 484.20, 727.11 and 264.69 is: 397.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.20 : 727.11 = 264.69 : x
  2. Step 2: Convert to fraction form
    484.20/727.11 = 264.69/x
  3. Step 3: Cross multiply
    484.20x = 727.11 × 264.69
  4. Step 4: Simplify right side
    484.20x = 192,458.75
  5. Step 5: Solve for x
    x = 192,458.75/484.20
  6. Step 6: Final answer
    x = 397.48

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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.