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Finding the Fourth Proportional to 282.29, 384.14 and 280.91

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Solution

The fourth proportional to 282.29, 384.14 and 280.91 is: 382.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.29 : 384.14 = 280.91 : x
  2. Step 2: Convert to fraction form
    282.29/384.14 = 280.91/x
  3. Step 3: Cross multiply
    282.29x = 384.14 × 280.91
  4. Step 4: Simplify right side
    282.29x = 107,910.43
  5. Step 5: Solve for x
    x = 107,910.43/282.29
  6. Step 6: Final answer
    x = 382.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.