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Finding the Fourth Proportional to 323.83, 485.90 and 161.63

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Solution

The fourth proportional to 323.83, 485.90 and 161.63 is: 242.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.83 : 485.90 = 161.63 : x
  2. Step 2: Convert to fraction form
    323.83/485.90 = 161.63/x
  3. Step 3: Cross multiply
    323.83x = 485.90 × 161.63
  4. Step 4: Simplify right side
    323.83x = 78,535.21
  5. Step 5: Solve for x
    x = 78,535.21/323.83
  6. Step 6: Final answer
    x = 242.52

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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.