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Finding the Fourth Proportional to 253.78, 382.49 and 239.65

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Solution

The fourth proportional to 253.78, 382.49 and 239.65 is: 361.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.78 : 382.49 = 239.65 : x
  2. Step 2: Convert to fraction form
    253.78/382.49 = 239.65/x
  3. Step 3: Cross multiply
    253.78x = 382.49 × 239.65
  4. Step 4: Simplify right side
    253.78x = 91,663.73
  5. Step 5: Solve for x
    x = 91,663.73/253.78
  6. Step 6: Final answer
    x = 361.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.