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Finding the Fourth Proportional to 323.10, 447.93 and 306.66

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Solution

The fourth proportional to 323.10, 447.93 and 306.66 is: 425.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.10 : 447.93 = 306.66 : x
  2. Step 2: Convert to fraction form
    323.10/447.93 = 306.66/x
  3. Step 3: Cross multiply
    323.10x = 447.93 × 306.66
  4. Step 4: Simplify right side
    323.10x = 137,362.21
  5. Step 5: Solve for x
    x = 137,362.21/323.10
  6. Step 6: Final answer
    x = 425.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.