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Finding the Fourth Proportional to 282.56, 426.30 and 269.12

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Solution

The fourth proportional to 282.56, 426.30 and 269.12 is: 406.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.56 : 426.30 = 269.12 : x
  2. Step 2: Convert to fraction form
    282.56/426.30 = 269.12/x
  3. Step 3: Cross multiply
    282.56x = 426.30 × 269.12
  4. Step 4: Simplify right side
    282.56x = 114,725.86
  5. Step 5: Solve for x
    x = 114,725.86/282.56
  6. Step 6: Final answer
    x = 406.02

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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.