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Finding the Fourth Proportional to 284.35, 426.69 and 186.97

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Solution

The fourth proportional to 284.35, 426.69 and 186.97 is: 280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.35 : 426.69 = 186.97 : x
  2. Step 2: Convert to fraction form
    284.35/426.69 = 186.97/x
  3. Step 3: Cross multiply
    284.35x = 426.69 × 186.97
  4. Step 4: Simplify right side
    284.35x = 79,778.23
  5. Step 5: Solve for x
    x = 79,778.23/284.35
  6. Step 6: Final answer
    x = 280.56

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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.