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Finding the Fourth Proportional to 323.82, 485.67 and 304.74

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Solution

The fourth proportional to 323.82, 485.67 and 304.74 is: 457.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.82 : 485.67 = 304.74 : x
  2. Step 2: Convert to fraction form
    323.82/485.67 = 304.74/x
  3. Step 3: Cross multiply
    323.82x = 485.67 × 304.74
  4. Step 4: Simplify right side
    323.82x = 148,003.08
  5. Step 5: Solve for x
    x = 148,003.08/323.82
  6. Step 6: Final answer
    x = 457.05

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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.