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Finding the Fourth Proportional to 282.74, 422.04 and 243.78

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Solution

The fourth proportional to 282.74, 422.04 and 243.78 is: 363.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.74 : 422.04 = 243.78 : x
  2. Step 2: Convert to fraction form
    282.74/422.04 = 243.78/x
  3. Step 3: Cross multiply
    282.74x = 422.04 × 243.78
  4. Step 4: Simplify right side
    282.74x = 102,885.75
  5. Step 5: Solve for x
    x = 102,885.75/282.74
  6. Step 6: Final answer
    x = 363.89

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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.