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Finding the Fourth Proportional to 282.67, 421.96 and 244.39

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Solution

The fourth proportional to 282.67, 421.96 and 244.39 is: 364.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.67 : 421.96 = 244.39 : x
  2. Step 2: Convert to fraction form
    282.67/421.96 = 244.39/x
  3. Step 3: Cross multiply
    282.67x = 421.96 × 244.39
  4. Step 4: Simplify right side
    282.67x = 103,122.80
  5. Step 5: Solve for x
    x = 103,122.80/282.67
  6. Step 6: Final answer
    x = 364.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.