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Finding the Fourth Proportional to 323.36, 485.46 and 322.16

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Solution

The fourth proportional to 323.36, 485.46 and 322.16 is: 483.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.36 : 485.46 = 322.16 : x
  2. Step 2: Convert to fraction form
    323.36/485.46 = 322.16/x
  3. Step 3: Cross multiply
    323.36x = 485.46 × 322.16
  4. Step 4: Simplify right side
    323.36x = 156,395.79
  5. Step 5: Solve for x
    x = 156,395.79/323.36
  6. Step 6: Final answer
    x = 483.66

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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.