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Finding the Fourth Proportional to 309.33, 464.25 and 163.13

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Solution

The fourth proportional to 309.33, 464.25 and 163.13 is: 244.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.33 : 464.25 = 163.13 : x
  2. Step 2: Convert to fraction form
    309.33/464.25 = 163.13/x
  3. Step 3: Cross multiply
    309.33x = 464.25 × 163.13
  4. Step 4: Simplify right side
    309.33x = 75,732.29
  5. Step 5: Solve for x
    x = 75,732.29/309.33
  6. Step 6: Final answer
    x = 244.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.