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Finding the Fourth Proportional to 284.50, 426.75 and 129.96

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Solution

The fourth proportional to 284.50, 426.75 and 129.96 is: 194.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.50 : 426.75 = 129.96 : x
  2. Step 2: Convert to fraction form
    284.50/426.75 = 129.96/x
  3. Step 3: Cross multiply
    284.50x = 426.75 × 129.96
  4. Step 4: Simplify right side
    284.50x = 55,460.43
  5. Step 5: Solve for x
    x = 55,460.43/284.50
  6. Step 6: Final answer
    x = 194.94

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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.