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Finding the Fourth Proportional to 282.86, 387.84 and 255.11

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Solution

The fourth proportional to 282.86, 387.84 and 255.11 is: 349.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.86 : 387.84 = 255.11 : x
  2. Step 2: Convert to fraction form
    282.86/387.84 = 255.11/x
  3. Step 3: Cross multiply
    282.86x = 387.84 × 255.11
  4. Step 4: Simplify right side
    282.86x = 98,939.92
  5. Step 5: Solve for x
    x = 98,939.92/282.86
  6. Step 6: Final answer
    x = 349.79

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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.