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Finding the Fourth Proportional to 866.65, 1,299.97 and 281.70

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Solution

The fourth proportional to 866.65, 1,299.97 and 281.70 is: 422.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.65 : 1,299.97 = 281.70 : x
  2. Step 2: Convert to fraction form
    866.65/1,299.97 = 281.70/x
  3. Step 3: Cross multiply
    866.65x = 1,299.97 × 281.70
  4. Step 4: Simplify right side
    866.65x = 366,193.64
  5. Step 5: Solve for x
    x = 366,193.64/866.65
  6. Step 6: Final answer
    x = 422.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.