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Finding the Fourth Proportional to 312.73, 431.13 and 239.16

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Solution

The fourth proportional to 312.73, 431.13 and 239.16 is: 329.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.73 : 431.13 = 239.16 : x
  2. Step 2: Convert to fraction form
    312.73/431.13 = 239.16/x
  3. Step 3: Cross multiply
    312.73x = 431.13 × 239.16
  4. Step 4: Simplify right side
    312.73x = 103,109.05
  5. Step 5: Solve for x
    x = 103,109.05/312.73
  6. Step 6: Final answer
    x = 329.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.