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Finding the Fourth Proportional to 323.36, 485.46 and 282.18

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Solution

The fourth proportional to 323.36, 485.46 and 282.18 is: 423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.36 : 485.46 = 282.18 : x
  2. Step 2: Convert to fraction form
    323.36/485.46 = 282.18/x
  3. Step 3: Cross multiply
    323.36x = 485.46 × 282.18
  4. Step 4: Simplify right side
    323.36x = 136,987.10
  5. Step 5: Solve for x
    x = 136,987.10/323.36
  6. Step 6: Final answer
    x = 423.64

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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.