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Finding the Fourth Proportional to 284.75, 426.72 and 162.85

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Solution

The fourth proportional to 284.75, 426.72 and 162.85 is: 244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.75 : 426.72 = 162.85 : x
  2. Step 2: Convert to fraction form
    284.75/426.72 = 162.85/x
  3. Step 3: Cross multiply
    284.75x = 426.72 × 162.85
  4. Step 4: Simplify right side
    284.75x = 69,491.35
  5. Step 5: Solve for x
    x = 69,491.35/284.75
  6. Step 6: Final answer
    x = 244.04

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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.