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Finding the Fourth Proportional to 282.67, 389.84 and 238.62

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Solution

The fourth proportional to 282.67, 389.84 and 238.62 is: 329.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.67 : 389.84 = 238.62 : x
  2. Step 2: Convert to fraction form
    282.67/389.84 = 238.62/x
  3. Step 3: Cross multiply
    282.67x = 389.84 × 238.62
  4. Step 4: Simplify right side
    282.67x = 93,023.62
  5. Step 5: Solve for x
    x = 93,023.62/282.67
  6. Step 6: Final answer
    x = 329.09

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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.