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Finding the Fourth Proportional to 483.96, 726.20 and 264.57

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Solution

The fourth proportional to 483.96, 726.20 and 264.57 is: 397.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.96 : 726.20 = 264.57 : x
  2. Step 2: Convert to fraction form
    483.96/726.20 = 264.57/x
  3. Step 3: Cross multiply
    483.96x = 726.20 × 264.57
  4. Step 4: Simplify right side
    483.96x = 192,133.62
  5. Step 5: Solve for x
    x = 192,133.62/483.96
  6. Step 6: Final answer
    x = 397.01

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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.