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Finding the Fourth Proportional to 283.98, 426.46 and 181.46

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Solution

The fourth proportional to 283.98, 426.46 and 181.46 is: 272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.98 : 426.46 = 181.46 : x
  2. Step 2: Convert to fraction form
    283.98/426.46 = 181.46/x
  3. Step 3: Cross multiply
    283.98x = 426.46 × 181.46
  4. Step 4: Simplify right side
    283.98x = 77,385.43
  5. Step 5: Solve for x
    x = 77,385.43/283.98
  6. Step 6: Final answer
    x = 272.50

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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.