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Finding the Fourth Proportional to 284.40, 427 and 186.92

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Solution

The fourth proportional to 284.40, 427 and 186.92 is: 280.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.40 : 427 = 186.92 : x
  2. Step 2: Convert to fraction form
    284.40/427 = 186.92/x
  3. Step 3: Cross multiply
    284.40x = 427 × 186.92
  4. Step 4: Simplify right side
    284.40x = 79,814.84
  5. Step 5: Solve for x
    x = 79,814.84/284.40
  6. Step 6: Final answer
    x = 280.64

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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.