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Finding the Fourth Proportional to 282.09, 387.82 and 280.34

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Solution

The fourth proportional to 282.09, 387.82 and 280.34 is: 385.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.09 : 387.82 = 280.34 : x
  2. Step 2: Convert to fraction form
    282.09/387.82 = 280.34/x
  3. Step 3: Cross multiply
    282.09x = 387.82 × 280.34
  4. Step 4: Simplify right side
    282.09x = 108,718.82
  5. Step 5: Solve for x
    x = 108,718.82/282.09
  6. Step 6: Final answer
    x = 385.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.