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Finding the Fourth Proportional to 484.22, 726.26 and 264.31

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Solution

The fourth proportional to 484.22, 726.26 and 264.31 is: 396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.22 : 726.26 = 264.31 : x
  2. Step 2: Convert to fraction form
    484.22/726.26 = 264.31/x
  3. Step 3: Cross multiply
    484.22x = 726.26 × 264.31
  4. Step 4: Simplify right side
    484.22x = 191,952.83
  5. Step 5: Solve for x
    x = 191,952.83/484.22
  6. Step 6: Final answer
    x = 396.42

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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.