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Finding the Fourth Proportional to 283.94, 426.36 and 181.27

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Solution

The fourth proportional to 283.94, 426.36 and 181.27 is: 272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.94 : 426.36 = 181.27 : x
  2. Step 2: Convert to fraction form
    283.94/426.36 = 181.27/x
  3. Step 3: Cross multiply
    283.94x = 426.36 × 181.27
  4. Step 4: Simplify right side
    283.94x = 77,287.49
  5. Step 5: Solve for x
    x = 77,287.49/283.94
  6. Step 6: Final answer
    x = 272.20

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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.