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Finding the Fourth Proportional to 323.23, 482.50 and 299.14

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Solution

The fourth proportional to 323.23, 482.50 and 299.14 is: 446.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.23 : 482.50 = 299.14 : x
  2. Step 2: Convert to fraction form
    323.23/482.50 = 299.14/x
  3. Step 3: Cross multiply
    323.23x = 482.50 × 299.14
  4. Step 4: Simplify right side
    323.23x = 144,335.80
  5. Step 5: Solve for x
    x = 144,335.80/323.23
  6. Step 6: Final answer
    x = 446.54

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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.