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Finding the Fourth Proportional to 323.96, 488.29 and 306.36

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Solution

The fourth proportional to 323.96, 488.29 and 306.36 is: 461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.96 : 488.29 = 306.36 : x
  2. Step 2: Convert to fraction form
    323.96/488.29 = 306.36/x
  3. Step 3: Cross multiply
    323.96x = 488.29 × 306.36
  4. Step 4: Simplify right side
    323.96x = 149,592.52
  5. Step 5: Solve for x
    x = 149,592.52/323.96
  6. Step 6: Final answer
    x = 461.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.