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Finding the Fourth Proportional to 282.80, 389.52 and 245.96

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Solution

The fourth proportional to 282.80, 389.52 and 245.96 is: 338.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.80 : 389.52 = 245.96 : x
  2. Step 2: Convert to fraction form
    282.80/389.52 = 245.96/x
  3. Step 3: Cross multiply
    282.80x = 389.52 × 245.96
  4. Step 4: Simplify right side
    282.80x = 95,806.34
  5. Step 5: Solve for x
    x = 95,806.34/282.80
  6. Step 6: Final answer
    x = 338.78

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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.