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Finding the Fourth Proportional to 284.59, 391.25 and 282.84

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Solution

The fourth proportional to 284.59, 391.25 and 282.84 is: 388.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.59 : 391.25 = 282.84 : x
  2. Step 2: Convert to fraction form
    284.59/391.25 = 282.84/x
  3. Step 3: Cross multiply
    284.59x = 391.25 × 282.84
  4. Step 4: Simplify right side
    284.59x = 110,657.78
  5. Step 5: Solve for x
    x = 110,657.78/284.59
  6. Step 6: Final answer
    x = 388.83

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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.