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Finding the Fourth Proportional to 313.25, 431.07 and 239.27

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Solution

The fourth proportional to 313.25, 431.07 and 239.27 is: 329.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.25 : 431.07 = 239.27 : x
  2. Step 2: Convert to fraction form
    313.25/431.07 = 239.27/x
  3. Step 3: Cross multiply
    313.25x = 431.07 × 239.27
  4. Step 4: Simplify right side
    313.25x = 103,142.12
  5. Step 5: Solve for x
    x = 103,142.12/313.25
  6. Step 6: Final answer
    x = 329.26

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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.