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Finding the Fourth Proportional to 323.74, 482.27 and 303.82

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Solution

The fourth proportional to 323.74, 482.27 and 303.82 is: 452.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.74 : 482.27 = 303.82 : x
  2. Step 2: Convert to fraction form
    323.74/482.27 = 303.82/x
  3. Step 3: Cross multiply
    323.74x = 482.27 × 303.82
  4. Step 4: Simplify right side
    323.74x = 146,523.27
  5. Step 5: Solve for x
    x = 146,523.27/323.74
  6. Step 6: Final answer
    x = 452.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.