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Finding the Fourth Proportional to 323.06, 483.82 and 225.65

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Solution

The fourth proportional to 323.06, 483.82 and 225.65 is: 337.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.06 : 483.82 = 225.65 : x
  2. Step 2: Convert to fraction form
    323.06/483.82 = 225.65/x
  3. Step 3: Cross multiply
    323.06x = 483.82 × 225.65
  4. Step 4: Simplify right side
    323.06x = 109,175.90
  5. Step 5: Solve for x
    x = 109,175.90/323.06
  6. Step 6: Final answer
    x = 337.95

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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.