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Finding the Fourth Proportional to 323.15, 481.98 and 274.76

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Solution

The fourth proportional to 323.15, 481.98 and 274.76 is: 409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.15 : 481.98 = 274.76 : x
  2. Step 2: Convert to fraction form
    323.15/481.98 = 274.76/x
  3. Step 3: Cross multiply
    323.15x = 481.98 × 274.76
  4. Step 4: Simplify right side
    323.15x = 132,426.41
  5. Step 5: Solve for x
    x = 132,426.41/323.15
  6. Step 6: Final answer
    x = 409.80

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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.