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Finding the Fourth Proportional to 313.67, 433.26 and 239.82

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Solution

The fourth proportional to 313.67, 433.26 and 239.82 is: 331.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.67 : 433.26 = 239.82 : x
  2. Step 2: Convert to fraction form
    313.67/433.26 = 239.82/x
  3. Step 3: Cross multiply
    313.67x = 433.26 × 239.82
  4. Step 4: Simplify right side
    313.67x = 103,904.41
  5. Step 5: Solve for x
    x = 103,904.41/313.67
  6. Step 6: Final answer
    x = 331.26

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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.