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Finding the Fourth Proportional to 486.82, 731.49 and 366.22

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Solution

The fourth proportional to 486.82, 731.49 and 366.22 is: 550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.82 : 731.49 = 366.22 : x
  2. Step 2: Convert to fraction form
    486.82/731.49 = 366.22/x
  3. Step 3: Cross multiply
    486.82x = 731.49 × 366.22
  4. Step 4: Simplify right side
    486.82x = 267,886.27
  5. Step 5: Solve for x
    x = 267,886.27/486.82
  6. Step 6: Final answer
    x = 550.28

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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.