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Finding the Fourth Proportional to 323.75, 485.25 and 186.52

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Solution

The fourth proportional to 323.75, 485.25 and 186.52 is: 279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.75 : 485.25 = 186.52 : x
  2. Step 2: Convert to fraction form
    323.75/485.25 = 186.52/x
  3. Step 3: Cross multiply
    323.75x = 485.25 × 186.52
  4. Step 4: Simplify right side
    323.75x = 90,506.01
  5. Step 5: Solve for x
    x = 90,506.01/323.75
  6. Step 6: Final answer
    x = 279.55

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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.