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Finding the Fourth Proportional to 323.20, 484.16 and 186.16

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Solution

The fourth proportional to 323.20, 484.16 and 186.16 is: 278.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.20 : 484.16 = 186.16 : x
  2. Step 2: Convert to fraction form
    323.20/484.16 = 186.16/x
  3. Step 3: Cross multiply
    323.20x = 484.16 × 186.16
  4. Step 4: Simplify right side
    323.20x = 90,131.23
  5. Step 5: Solve for x
    x = 90,131.23/323.20
  6. Step 6: Final answer
    x = 278.87

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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.