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Finding the Fourth Proportional to 284.20, 426.22 and 192.53

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Solution

The fourth proportional to 284.20, 426.22 and 192.53 is: 288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.20 : 426.22 = 192.53 : x
  2. Step 2: Convert to fraction form
    284.20/426.22 = 192.53/x
  3. Step 3: Cross multiply
    284.20x = 426.22 × 192.53
  4. Step 4: Simplify right side
    284.20x = 82,060.72
  5. Step 5: Solve for x
    x = 82,060.72/284.20
  6. Step 6: Final answer
    x = 288.75

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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.